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Finding the Third Proportional to 39,861 and 61,070

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Solution

The third proportional to 39,861 and 61,070 is: 93,563.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,861 : 61,070 = 61,070 : x
  2. Step 2: Convert to fraction form
    39,861/61,070 = 61,070/x
  3. Step 3: Cross multiply
    39,861x = 61,070 × 61,070
  4. Step 4: Simplify right side
    39,861x = 3,729,544,900
  5. Step 5: Solve for x
    x = 3,729,544,900/39,861
  6. Step 6: Final answer
    x = 93,563.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.