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Finding the Third Proportional to 257,471 and 560,710

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Solution

The third proportional to 257,471 and 560,710 is: 1,221,091.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,471 : 560,710 = 560,710 : x
  2. Step 2: Convert to fraction form
    257,471/560,710 = 560,710/x
  3. Step 3: Cross multiply
    257,471x = 560,710 × 560,710
  4. Step 4: Simplify right side
    257,471x = 314,395,704,100
  5. Step 5: Solve for x
    x = 314,395,704,100/257,471
  6. Step 6: Final answer
    x = 1,221,091.71

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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.