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Finding the Third Proportional to 257,643 and 567,612

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Solution

The third proportional to 257,643 and 567,612 is: 1,250,503.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,643 : 567,612 = 567,612 : x
  2. Step 2: Convert to fraction form
    257,643/567,612 = 567,612/x
  3. Step 3: Cross multiply
    257,643x = 567,612 × 567,612
  4. Step 4: Simplify right side
    257,643x = 322,183,382,544
  5. Step 5: Solve for x
    x = 322,183,382,544/257,643
  6. Step 6: Final answer
    x = 1,250,503.15

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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.