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Finding the Third Proportional to 88,918 and 137,638

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Solution

The third proportional to 88,918 and 137,638 is: 213,052.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,918 : 137,638 = 137,638 : x
  2. Step 2: Convert to fraction form
    88,918/137,638 = 137,638/x
  3. Step 3: Cross multiply
    88,918x = 137,638 × 137,638
  4. Step 4: Simplify right side
    88,918x = 18,944,219,044
  5. Step 5: Solve for x
    x = 18,944,219,044/88,918
  6. Step 6: Final answer
    x = 213,052.69

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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.