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Finding the Third Proportional to 516,322 and 743,649

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Solution

The third proportional to 516,322 and 743,649 is: 1,071,063.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,322 : 743,649 = 743,649 : x
  2. Step 2: Convert to fraction form
    516,322/743,649 = 743,649/x
  3. Step 3: Cross multiply
    516,322x = 743,649 × 743,649
  4. Step 4: Simplify right side
    516,322x = 553,013,835,201
  5. Step 5: Solve for x
    x = 553,013,835,201/516,322
  6. Step 6: Final answer
    x = 1,071,063.86

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.