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Finding the Third Proportional to 39,720 and 61,342.50

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Solution

The third proportional to 39,720 and 61,342.50 is: 94,735.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,720 : 61,342.50 = 61,342.50 : x
  2. Step 2: Convert to fraction form
    39,720/61,342.50 = 61,342.50/x
  3. Step 3: Cross multiply
    39,720x = 61,342.50 × 61,342.50
  4. Step 4: Simplify right side
    39,720x = 3,762,902,306.25
  5. Step 5: Solve for x
    x = 3,762,902,306.25/39,720
  6. Step 6: Final answer
    x = 94,735.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.