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Finding the Third Proportional to 88,434 and 137,135

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Solution

The third proportional to 88,434 and 137,135 is: 212,655.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,434 : 137,135 = 137,135 : x
  2. Step 2: Convert to fraction form
    88,434/137,135 = 137,135/x
  3. Step 3: Cross multiply
    88,434x = 137,135 × 137,135
  4. Step 4: Simplify right side
    88,434x = 18,806,008,225
  5. Step 5: Solve for x
    x = 18,806,008,225/88,434
  6. Step 6: Final answer
    x = 212,655.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.