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Finding the Third Proportional to 267,320 and 578,272

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Solution

The third proportional to 267,320 and 578,272 is: 1,250,929.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,320 : 578,272 = 578,272 : x
  2. Step 2: Convert to fraction form
    267,320/578,272 = 578,272/x
  3. Step 3: Cross multiply
    267,320x = 578,272 × 578,272
  4. Step 4: Simplify right side
    267,320x = 334,398,505,984
  5. Step 5: Solve for x
    x = 334,398,505,984/267,320
  6. Step 6: Final answer
    x = 1,250,929.62

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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.