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Finding the Third Proportional to 155,959 and 336,521

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Solution

The third proportional to 155,959 and 336,521 is: 726,129.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,959 : 336,521 = 336,521 : x
  2. Step 2: Convert to fraction form
    155,959/336,521 = 336,521/x
  3. Step 3: Cross multiply
    155,959x = 336,521 × 336,521
  4. Step 4: Simplify right side
    155,959x = 113,246,383,441
  5. Step 5: Solve for x
    x = 113,246,383,441/155,959
  6. Step 6: Final answer
    x = 726,129.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.