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Finding the Third Proportional to 77,940 and 188,451

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Solution

The third proportional to 77,940 and 188,451 is: 455,655.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,940 : 188,451 = 188,451 : x
  2. Step 2: Convert to fraction form
    77,940/188,451 = 188,451/x
  3. Step 3: Cross multiply
    77,940x = 188,451 × 188,451
  4. Step 4: Simplify right side
    77,940x = 35,513,779,401
  5. Step 5: Solve for x
    x = 35,513,779,401/77,940
  6. Step 6: Final answer
    x = 455,655.37

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.