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Finding the Third Proportional to 136,542 and 206,721

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Solution

The third proportional to 136,542 and 206,721 is: 312,970.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,542 : 206,721 = 206,721 : x
  2. Step 2: Convert to fraction form
    136,542/206,721 = 206,721/x
  3. Step 3: Cross multiply
    136,542x = 206,721 × 206,721
  4. Step 4: Simplify right side
    136,542x = 42,733,571,841
  5. Step 5: Solve for x
    x = 42,733,571,841/136,542
  6. Step 6: Final answer
    x = 312,970.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.