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Finding the Third Proportional to 516,330.75 and 743,660.63

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Solution

The third proportional to 516,330.75 and 743,660.63 is: 1,071,079.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,330.75 : 743,660.63 = 743,660.63 : x
  2. Step 2: Convert to fraction form
    516,330.75/743,660.63 = 743,660.63/x
  3. Step 3: Cross multiply
    516,330.75x = 743,660.63 × 743,660.63
  4. Step 4: Simplify right side
    516,330.75x = 553,031,125,175.39
  5. Step 5: Solve for x
    x = 553,031,125,175.39/516,330.75
  6. Step 6: Final answer
    x = 1,071,079.20

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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.