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Finding the Third Proportional to 257,068 and 557,040

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Solution

The third proportional to 257,068 and 557,040 is: 1,207,048.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,068 : 557,040 = 557,040 : x
  2. Step 2: Convert to fraction form
    257,068/557,040 = 557,040/x
  3. Step 3: Cross multiply
    257,068x = 557,040 × 557,040
  4. Step 4: Simplify right side
    257,068x = 310,293,561,600
  5. Step 5: Solve for x
    x = 310,293,561,600/257,068
  6. Step 6: Final answer
    x = 1,207,048.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.