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Finding the Third Proportional to 87,467 and 135,065

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Solution

The third proportional to 87,467 and 135,065 is: 208,564.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,467 : 135,065 = 135,065 : x
  2. Step 2: Convert to fraction form
    87,467/135,065 = 135,065/x
  3. Step 3: Cross multiply
    87,467x = 135,065 × 135,065
  4. Step 4: Simplify right side
    87,467x = 18,242,554,225
  5. Step 5: Solve for x
    x = 18,242,554,225/87,467
  6. Step 6: Final answer
    x = 208,564.99

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.