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Finding the Third Proportional to 99,924,489 and 231,310,809

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Solution

The third proportional to 99,924,489 and 231,310,809 is: 535,451,228.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,924,489 : 231,310,809 = 231,310,809 : x
  2. Step 2: Convert to fraction form
    99,924,489/231,310,809 = 231,310,809/x
  3. Step 3: Cross multiply
    99,924,489x = 231,310,809 × 231,310,809
  4. Step 4: Simplify right side
    99,924,489x = 53,504,690,360,234,480
  5. Step 5: Solve for x
    x = 53,504,690,360,234,480/99,924,489
  6. Step 6: Final answer
    x = 535,451,228.18

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.