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Finding the Third Proportional to 180,360 and 387,851.63

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Solution

The third proportional to 180,360 and 387,851.63 is: 834,047.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,360 : 387,851.63 = 387,851.63 : x
  2. Step 2: Convert to fraction form
    180,360/387,851.63 = 387,851.63/x
  3. Step 3: Cross multiply
    180,360x = 387,851.63 × 387,851.63
  4. Step 4: Simplify right side
    180,360x = 150,428,883,015.14
  5. Step 5: Solve for x
    x = 150,428,883,015.14/180,360
  6. Step 6: Final answer
    x = 834,047.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.