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Finding the Third Proportional to 516,394 and 782,319

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Solution

The third proportional to 516,394 and 782,319 is: 1,185,186.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,394 : 782,319 = 782,319 : x
  2. Step 2: Convert to fraction form
    516,394/782,319 = 782,319/x
  3. Step 3: Cross multiply
    516,394x = 782,319 × 782,319
  4. Step 4: Simplify right side
    516,394x = 612,023,017,761
  5. Step 5: Solve for x
    x = 612,023,017,761/516,394
  6. Step 6: Final answer
    x = 1,185,186.15

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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.