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Finding the Third Proportional to 91,288 and 136,572

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Solution

The third proportional to 91,288 and 136,572 is: 204,319.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,288 : 136,572 = 136,572 : x
  2. Step 2: Convert to fraction form
    91,288/136,572 = 136,572/x
  3. Step 3: Cross multiply
    91,288x = 136,572 × 136,572
  4. Step 4: Simplify right side
    91,288x = 18,651,911,184
  5. Step 5: Solve for x
    x = 18,651,911,184/91,288
  6. Step 6: Final answer
    x = 204,319.42

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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.