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Finding the Third Proportional to 29,909 and 64,772

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Solution

The third proportional to 29,909 and 64,772 is: 140,272.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,909 : 64,772 = 64,772 : x
  2. Step 2: Convert to fraction form
    29,909/64,772 = 64,772/x
  3. Step 3: Cross multiply
    29,909x = 64,772 × 64,772
  4. Step 4: Simplify right side
    29,909x = 4,195,411,984
  5. Step 5: Solve for x
    x = 4,195,411,984/29,909
  6. Step 6: Final answer
    x = 140,272.56

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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.