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Finding the Third Proportional to 77,940 and 121,473

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Solution

The third proportional to 77,940 and 121,473 is: 189,321.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,940 : 121,473 = 121,473 : x
  2. Step 2: Convert to fraction form
    77,940/121,473 = 121,473/x
  3. Step 3: Cross multiply
    77,940x = 121,473 × 121,473
  4. Step 4: Simplify right side
    77,940x = 14,755,689,729
  5. Step 5: Solve for x
    x = 14,755,689,729/77,940
  6. Step 6: Final answer
    x = 189,321.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.