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Finding the Third Proportional to 109,072,476 and 233,261,493.75

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Solution

The third proportional to 109,072,476 and 233,261,493.75 is: 498,851,098.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,072,476 : 233,261,493.75 = 233,261,493.75 : x
  2. Step 2: Convert to fraction form
    109,072,476/233,261,493.75 = 233,261,493.75/x
  3. Step 3: Cross multiply
    109,072,476x = 233,261,493.75 × 233,261,493.75
  4. Step 4: Simplify right side
    109,072,476x = 54,410,924,466,481,288
  5. Step 5: Solve for x
    x = 54,410,924,466,481,288/109,072,476
  6. Step 6: Final answer
    x = 498,851,098.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.