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Finding the Third Proportional to 239,279 and 525,729

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Solution

The third proportional to 239,279 and 525,729 is: 1,155,099.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,279 : 525,729 = 525,729 : x
  2. Step 2: Convert to fraction form
    239,279/525,729 = 525,729/x
  3. Step 3: Cross multiply
    239,279x = 525,729 × 525,729
  4. Step 4: Simplify right side
    239,279x = 276,390,981,441
  5. Step 5: Solve for x
    x = 276,390,981,441/239,279
  6. Step 6: Final answer
    x = 1,155,099.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.