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Finding the Third Proportional to 516,228 and 782,112

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Solution

The third proportional to 516,228 and 782,112 is: 1,184,939.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,228 : 782,112 = 782,112 : x
  2. Step 2: Convert to fraction form
    516,228/782,112 = 782,112/x
  3. Step 3: Cross multiply
    516,228x = 782,112 × 782,112
  4. Step 4: Simplify right side
    516,228x = 611,699,180,544
  5. Step 5: Solve for x
    x = 611,699,180,544/516,228
  6. Step 6: Final answer
    x = 1,184,939.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.