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Finding the Third Proportional to 27,931 and 39,070

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Solution

The third proportional to 27,931 and 39,070 is: 54,651.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,931 : 39,070 = 39,070 : x
  2. Step 2: Convert to fraction form
    27,931/39,070 = 39,070/x
  3. Step 3: Cross multiply
    27,931x = 39,070 × 39,070
  4. Step 4: Simplify right side
    27,931x = 1,526,464,900
  5. Step 5: Solve for x
    x = 1,526,464,900/27,931
  6. Step 6: Final answer
    x = 54,651.28

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.