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Finding the Third Proportional to 77,762 and 171,940

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Solution

The third proportional to 77,762 and 171,940 is: 380,177.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,762 : 171,940 = 171,940 : x
  2. Step 2: Convert to fraction form
    77,762/171,940 = 171,940/x
  3. Step 3: Cross multiply
    77,762x = 171,940 × 171,940
  4. Step 4: Simplify right side
    77,762x = 29,563,363,600
  5. Step 5: Solve for x
    x = 29,563,363,600/77,762
  6. Step 6: Final answer
    x = 380,177.51

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.