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Finding the Third Proportional to 31,070 and 39,909

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Solution

The third proportional to 31,070 and 39,909 is: 51,262.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,070 : 39,909 = 39,909 : x
  2. Step 2: Convert to fraction form
    31,070/39,909 = 39,909/x
  3. Step 3: Cross multiply
    31,070x = 39,909 × 39,909
  4. Step 4: Simplify right side
    31,070x = 1,592,728,281
  5. Step 5: Solve for x
    x = 1,592,728,281/31,070
  6. Step 6: Final answer
    x = 51,262.58

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.