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Finding the Third Proportional to 39,810 and 61,605

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Solution

The third proportional to 39,810 and 61,605 is: 95,332.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,810 : 61,605 = 61,605 : x
  2. Step 2: Convert to fraction form
    39,810/61,605 = 61,605/x
  3. Step 3: Cross multiply
    39,810x = 61,605 × 61,605
  4. Step 4: Simplify right side
    39,810x = 3,795,176,025
  5. Step 5: Solve for x
    x = 3,795,176,025/39,810
  6. Step 6: Final answer
    x = 95,332.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.