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Finding the Third Proportional to 257,280 and 548,544

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Solution

The third proportional to 257,280 and 548,544 is: 1,169,544.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,280 : 548,544 = 548,544 : x
  2. Step 2: Convert to fraction form
    257,280/548,544 = 548,544/x
  3. Step 3: Cross multiply
    257,280x = 548,544 × 548,544
  4. Step 4: Simplify right side
    257,280x = 300,900,519,936
  5. Step 5: Solve for x
    x = 300,900,519,936/257,280
  6. Step 6: Final answer
    x = 1,169,544.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.