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Finding the Third Proportional to 257,742 and 564,570

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Solution

The third proportional to 257,742 and 564,570 is: 1,236,660.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,742 : 564,570 = 564,570 : x
  2. Step 2: Convert to fraction form
    257,742/564,570 = 564,570/x
  3. Step 3: Cross multiply
    257,742x = 564,570 × 564,570
  4. Step 4: Simplify right side
    257,742x = 318,739,284,900
  5. Step 5: Solve for x
    x = 318,739,284,900/257,742
  6. Step 6: Final answer
    x = 1,236,660.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.