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Finding the Third Proportional to 77,747 and 123,771

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Solution

The third proportional to 77,747 and 123,771 is: 197,039.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,747 : 123,771 = 123,771 : x
  2. Step 2: Convert to fraction form
    77,747/123,771 = 123,771/x
  3. Step 3: Cross multiply
    77,747x = 123,771 × 123,771
  4. Step 4: Simplify right side
    77,747x = 15,319,260,441
  5. Step 5: Solve for x
    x = 15,319,260,441/77,747
  6. Step 6: Final answer
    x = 197,039.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.