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Finding the Third Proportional to 91,418 and 134,481

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Solution

The third proportional to 91,418 and 134,481 is: 197,829.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,418 : 134,481 = 134,481 : x
  2. Step 2: Convert to fraction form
    91,418/134,481 = 134,481/x
  3. Step 3: Cross multiply
    91,418x = 134,481 × 134,481
  4. Step 4: Simplify right side
    91,418x = 18,085,139,361
  5. Step 5: Solve for x
    x = 18,085,139,361/91,418
  6. Step 6: Final answer
    x = 197,829.09

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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.