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Finding the Third Proportional to 39,688 and 53,902

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Solution

The third proportional to 39,688 and 53,902 is: 73,206.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,688 : 53,902 = 53,902 : x
  2. Step 2: Convert to fraction form
    39,688/53,902 = 53,902/x
  3. Step 3: Cross multiply
    39,688x = 53,902 × 53,902
  4. Step 4: Simplify right side
    39,688x = 2,905,425,604
  5. Step 5: Solve for x
    x = 2,905,425,604/39,688
  6. Step 6: Final answer
    x = 73,206.65

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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.