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Finding the Third Proportional to 327,981 and 707,640

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Solution

The third proportional to 327,981 and 707,640 is: 1,526,778.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,981 : 707,640 = 707,640 : x
  2. Step 2: Convert to fraction form
    327,981/707,640 = 707,640/x
  3. Step 3: Cross multiply
    327,981x = 707,640 × 707,640
  4. Step 4: Simplify right side
    327,981x = 500,754,369,600
  5. Step 5: Solve for x
    x = 500,754,369,600/327,981
  6. Step 6: Final answer
    x = 1,526,778.59

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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.