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Finding the Third Proportional to 91,381 and 136,315

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Solution

The third proportional to 91,381 and 136,315 is: 203,344.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,381 : 136,315 = 136,315 : x
  2. Step 2: Convert to fraction form
    91,381/136,315 = 136,315/x
  3. Step 3: Cross multiply
    91,381x = 136,315 × 136,315
  4. Step 4: Simplify right side
    91,381x = 18,581,779,225
  5. Step 5: Solve for x
    x = 18,581,779,225/91,381
  6. Step 6: Final answer
    x = 203,344.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.