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Finding the Third Proportional to 136,624 and 209,082

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Solution

The third proportional to 136,624 and 209,082 is: 319,967.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,624 : 209,082 = 209,082 : x
  2. Step 2: Convert to fraction form
    136,624/209,082 = 209,082/x
  3. Step 3: Cross multiply
    136,624x = 209,082 × 209,082
  4. Step 4: Simplify right side
    136,624x = 43,715,282,724
  5. Step 5: Solve for x
    x = 43,715,282,724/136,624
  6. Step 6: Final answer
    x = 319,967.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.