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Finding the Third Proportional to 257,540 and 570,376

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Solution

The third proportional to 257,540 and 570,376 is: 1,263,216.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,540 : 570,376 = 570,376 : x
  2. Step 2: Convert to fraction form
    257,540/570,376 = 570,376/x
  3. Step 3: Cross multiply
    257,540x = 570,376 × 570,376
  4. Step 4: Simplify right side
    257,540x = 325,328,781,376
  5. Step 5: Solve for x
    x = 325,328,781,376/257,540
  6. Step 6: Final answer
    x = 1,263,216.52

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.