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Finding the Third Proportional to 88,621 and 136,217

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Solution

The third proportional to 88,621 and 136,217 is: 209,375.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,621 : 136,217 = 136,217 : x
  2. Step 2: Convert to fraction form
    88,621/136,217 = 136,217/x
  3. Step 3: Cross multiply
    88,621x = 136,217 × 136,217
  4. Step 4: Simplify right side
    88,621x = 18,555,071,089
  5. Step 5: Solve for x
    x = 18,555,071,089/88,621
  6. Step 6: Final answer
    x = 209,375.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.