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Finding the Third Proportional to 59,489 and 87,589

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Solution

The third proportional to 59,489 and 87,589 is: 128,962.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,489 : 87,589 = 87,589 : x
  2. Step 2: Convert to fraction form
    59,489/87,589 = 87,589/x
  3. Step 3: Cross multiply
    59,489x = 87,589 × 87,589
  4. Step 4: Simplify right side
    59,489x = 7,671,832,921
  5. Step 5: Solve for x
    x = 7,671,832,921/59,489
  6. Step 6: Final answer
    x = 128,962.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.