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Finding the Third Proportional to 59,605 and 135,892

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Solution

The third proportional to 59,605 and 135,892 is: 309,816.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,605 : 135,892 = 135,892 : x
  2. Step 2: Convert to fraction form
    59,605/135,892 = 135,892/x
  3. Step 3: Cross multiply
    59,605x = 135,892 × 135,892
  4. Step 4: Simplify right side
    59,605x = 18,466,635,664
  5. Step 5: Solve for x
    x = 18,466,635,664/59,605
  6. Step 6: Final answer
    x = 309,816.89

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.