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Finding the Third Proportional to 91,321 and 124,405

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Solution

The third proportional to 91,321 and 124,405 is: 169,474.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,321 : 124,405 = 124,405 : x
  2. Step 2: Convert to fraction form
    91,321/124,405 = 124,405/x
  3. Step 3: Cross multiply
    91,321x = 124,405 × 124,405
  4. Step 4: Simplify right side
    91,321x = 15,476,604,025
  5. Step 5: Solve for x
    x = 15,476,604,025/91,321
  6. Step 6: Final answer
    x = 169,474.75

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.