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Finding the Third Proportional to 140,697,278 and 305,615,102

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Solution

The third proportional to 140,697,278 and 305,615,102 is: 663,840,778.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,697,278 : 305,615,102 = 305,615,102 : x
  2. Step 2: Convert to fraction form
    140,697,278/305,615,102 = 305,615,102/x
  3. Step 3: Cross multiply
    140,697,278x = 305,615,102 × 305,615,102
  4. Step 4: Simplify right side
    140,697,278x = 93,400,590,570,470,400
  5. Step 5: Solve for x
    x = 93,400,590,570,470,400/140,697,278
  6. Step 6: Final answer
    x = 663,840,778.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.