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Finding the Third Proportional to 53,952 and 81,657

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Solution

The third proportional to 53,952 and 81,657 is: 123,588.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,952 : 81,657 = 81,657 : x
  2. Step 2: Convert to fraction form
    53,952/81,657 = 81,657/x
  3. Step 3: Cross multiply
    53,952x = 81,657 × 81,657
  4. Step 4: Simplify right side
    53,952x = 6,667,865,649
  5. Step 5: Solve for x
    x = 6,667,865,649/53,952
  6. Step 6: Final answer
    x = 123,588.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.