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Finding the Third Proportional to 39,680 and 53,862

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Solution

The third proportional to 39,680 and 53,862 is: 73,112.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,680 : 53,862 = 53,862 : x
  2. Step 2: Convert to fraction form
    39,680/53,862 = 53,862/x
  3. Step 3: Cross multiply
    39,680x = 53,862 × 53,862
  4. Step 4: Simplify right side
    39,680x = 2,901,115,044
  5. Step 5: Solve for x
    x = 2,901,115,044/39,680
  6. Step 6: Final answer
    x = 73,112.78

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.