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Finding the Third Proportional to 257,393 and 567,139

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Solution

The third proportional to 257,393 and 567,139 is: 1,249,632.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,393 : 567,139 = 567,139 : x
  2. Step 2: Convert to fraction form
    257,393/567,139 = 567,139/x
  3. Step 3: Cross multiply
    257,393x = 567,139 × 567,139
  4. Step 4: Simplify right side
    257,393x = 321,646,645,321
  5. Step 5: Solve for x
    x = 321,646,645,321/257,393
  6. Step 6: Final answer
    x = 1,249,632.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.