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Finding the Third Proportional to 136,292 and 206,898

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Solution

The third proportional to 136,292 and 206,898 is: 314,081.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,292 : 206,898 = 206,898 : x
  2. Step 2: Convert to fraction form
    136,292/206,898 = 206,898/x
  3. Step 3: Cross multiply
    136,292x = 206,898 × 206,898
  4. Step 4: Simplify right side
    136,292x = 42,806,782,404
  5. Step 5: Solve for x
    x = 42,806,782,404/136,292
  6. Step 6: Final answer
    x = 314,081.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.