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Finding the Third Proportional to 91,310 and 137,253

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Solution

The third proportional to 91,310 and 137,253 is: 206,312.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,310 : 137,253 = 137,253 : x
  2. Step 2: Convert to fraction form
    91,310/137,253 = 137,253/x
  3. Step 3: Cross multiply
    91,310x = 137,253 × 137,253
  4. Step 4: Simplify right side
    91,310x = 18,838,386,009
  5. Step 5: Solve for x
    x = 18,838,386,009/91,310
  6. Step 6: Final answer
    x = 206,312.41

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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.