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Finding the Third Proportional to 257,750 and 559,780

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Solution

The third proportional to 257,750 and 559,780 is: 1,215,727.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,750 : 559,780 = 559,780 : x
  2. Step 2: Convert to fraction form
    257,750/559,780 = 559,780/x
  3. Step 3: Cross multiply
    257,750x = 559,780 × 559,780
  4. Step 4: Simplify right side
    257,750x = 313,353,648,400
  5. Step 5: Solve for x
    x = 313,353,648,400/257,750
  6. Step 6: Final answer
    x = 1,215,727.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.