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Finding the Third Proportional to 91,210 and 136,448

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Solution

The third proportional to 91,210 and 136,448 is: 204,122.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,210 : 136,448 = 136,448 : x
  2. Step 2: Convert to fraction form
    91,210/136,448 = 136,448/x
  3. Step 3: Cross multiply
    91,210x = 136,448 × 136,448
  4. Step 4: Simplify right side
    91,210x = 18,618,056,704
  5. Step 5: Solve for x
    x = 18,618,056,704/91,210
  6. Step 6: Final answer
    x = 204,122.98

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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.