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Finding the Third Proportional to 516,400 and 782,328

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Solution

The third proportional to 516,400 and 782,328 is: 1,185,199.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,400 : 782,328 = 782,328 : x
  2. Step 2: Convert to fraction form
    516,400/782,328 = 782,328/x
  3. Step 3: Cross multiply
    516,400x = 782,328 × 782,328
  4. Step 4: Simplify right side
    516,400x = 612,037,099,584
  5. Step 5: Solve for x
    x = 612,037,099,584/516,400
  6. Step 6: Final answer
    x = 1,185,199.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.