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Finding the Third Proportional to 532,358,071,380 and 1,183,743,810,180

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Solution

The third proportional to 532,358,071,380 and 1,183,743,810,180 is: 2,632,155,842,978.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,358,071,380 : 1,183,743,810,180 = 1,183,743,810,180 : x
  2. Step 2: Convert to fraction form
    532,358,071,380/1,183,743,810,180 = 1,183,743,810,180/x
  3. Step 3: Cross multiply
    532,358,071,380x = 1,183,743,810,180 × 1,183,743,810,180
  4. Step 4: Simplify right side
    532,358,071,380x = 1,401,249,408,139,463,925,694,464
  5. Step 5: Solve for x
    x = 1,401,249,408,139,463,925,694,464/532,358,071,380
  6. Step 6: Final answer
    x = 2,632,155,842,978.18

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.