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Finding the Third Proportional to 257,787 and 566,354

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Solution

The third proportional to 257,787 and 566,354 is: 1,244,270.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,787 : 566,354 = 566,354 : x
  2. Step 2: Convert to fraction form
    257,787/566,354 = 566,354/x
  3. Step 3: Cross multiply
    257,787x = 566,354 × 566,354
  4. Step 4: Simplify right side
    257,787x = 320,756,853,316
  5. Step 5: Solve for x
    x = 320,756,853,316/257,787
  6. Step 6: Final answer
    x = 1,244,270.86

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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.