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Finding the Third Proportional to 322,272 and 665,264

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Solution

The third proportional to 322,272 and 665,264 is: 1,373,300.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,272 : 665,264 = 665,264 : x
  2. Step 2: Convert to fraction form
    322,272/665,264 = 665,264/x
  3. Step 3: Cross multiply
    322,272x = 665,264 × 665,264
  4. Step 4: Simplify right side
    322,272x = 442,576,189,696
  5. Step 5: Solve for x
    x = 442,576,189,696/322,272
  6. Step 6: Final answer
    x = 1,373,300.16

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.