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Finding the Third Proportional to 59,657 and 128,659

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Solution

The third proportional to 59,657 and 128,659 is: 277,471.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,657 : 128,659 = 128,659 : x
  2. Step 2: Convert to fraction form
    59,657/128,659 = 128,659/x
  3. Step 3: Cross multiply
    59,657x = 128,659 × 128,659
  4. Step 4: Simplify right side
    59,657x = 16,553,138,281
  5. Step 5: Solve for x
    x = 16,553,138,281/59,657
  6. Step 6: Final answer
    x = 277,471.85

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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.