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Finding the Third Proportional to 91,455 and 137,425

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Solution

The third proportional to 91,455 and 137,425 is: 206,501.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,455 : 137,425 = 137,425 : x
  2. Step 2: Convert to fraction form
    91,455/137,425 = 137,425/x
  3. Step 3: Cross multiply
    91,455x = 137,425 × 137,425
  4. Step 4: Simplify right side
    91,455x = 18,885,630,625
  5. Step 5: Solve for x
    x = 18,885,630,625/91,455
  6. Step 6: Final answer
    x = 206,501.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.