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Finding the Third Proportional to 77,140 and 166,472

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Solution

The third proportional to 77,140 and 166,472 is: 359,254.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,140 : 166,472 = 166,472 : x
  2. Step 2: Convert to fraction form
    77,140/166,472 = 166,472/x
  3. Step 3: Cross multiply
    77,140x = 166,472 × 166,472
  4. Step 4: Simplify right side
    77,140x = 27,712,926,784
  5. Step 5: Solve for x
    x = 27,712,926,784/77,140
  6. Step 6: Final answer
    x = 359,254.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.