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Finding the Third Proportional to 255,660 and 557,463

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Solution

The third proportional to 255,660 and 557,463 is: 1,215,540.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,660 : 557,463 = 557,463 : x
  2. Step 2: Convert to fraction form
    255,660/557,463 = 557,463/x
  3. Step 3: Cross multiply
    255,660x = 557,463 × 557,463
  4. Step 4: Simplify right side
    255,660x = 310,764,996,369
  5. Step 5: Solve for x
    x = 310,764,996,369/255,660
  6. Step 6: Final answer
    x = 1,215,540.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.