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Finding the Third Proportional to 136,786 and 209,959

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Solution

The third proportional to 136,786 and 209,959 is: 322,275.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,786 : 209,959 = 209,959 : x
  2. Step 2: Convert to fraction form
    136,786/209,959 = 209,959/x
  3. Step 3: Cross multiply
    136,786x = 209,959 × 209,959
  4. Step 4: Simplify right side
    136,786x = 44,082,781,681
  5. Step 5: Solve for x
    x = 44,082,781,681/136,786
  6. Step 6: Final answer
    x = 322,275.54

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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.