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Finding the Third Proportional to 88,416 and 137,128

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Solution

The third proportional to 88,416 and 137,128 is: 212,677.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,416 : 137,128 = 137,128 : x
  2. Step 2: Convert to fraction form
    88,416/137,128 = 137,128/x
  3. Step 3: Cross multiply
    88,416x = 137,128 × 137,128
  4. Step 4: Simplify right side
    88,416x = 18,804,088,384
  5. Step 5: Solve for x
    x = 18,804,088,384/88,416
  6. Step 6: Final answer
    x = 212,677.44

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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.