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Finding the Third Proportional to 89,623 and 137,567

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Solution

The third proportional to 89,623 and 137,567 is: 211,158.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,623 : 137,567 = 137,567 : x
  2. Step 2: Convert to fraction form
    89,623/137,567 = 137,567/x
  3. Step 3: Cross multiply
    89,623x = 137,567 × 137,567
  4. Step 4: Simplify right side
    89,623x = 18,924,679,489
  5. Step 5: Solve for x
    x = 18,924,679,489/89,623
  6. Step 6: Final answer
    x = 211,158.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.