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Finding the Third Proportional to 61,772 and 120,472

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Solution

The third proportional to 61,772 and 120,472 is: 234,952.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,772 : 120,472 = 120,472 : x
  2. Step 2: Convert to fraction form
    61,772/120,472 = 120,472/x
  3. Step 3: Cross multiply
    61,772x = 120,472 × 120,472
  4. Step 4: Simplify right side
    61,772x = 14,513,502,784
  5. Step 5: Solve for x
    x = 14,513,502,784/61,772
  6. Step 6: Final answer
    x = 234,952.77

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.