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Finding the Third Proportional to 499,374 and 782,530

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Solution

The third proportional to 499,374 and 782,530 is: 1,226,241.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,374 : 782,530 = 782,530 : x
  2. Step 2: Convert to fraction form
    499,374/782,530 = 782,530/x
  3. Step 3: Cross multiply
    499,374x = 782,530 × 782,530
  4. Step 4: Simplify right side
    499,374x = 612,353,200,900
  5. Step 5: Solve for x
    x = 612,353,200,900/499,374
  6. Step 6: Final answer
    x = 1,226,241.66

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.