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Finding the Third Proportional to 516,474 and 754,890

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Solution

The third proportional to 516,474 and 754,890 is: 1,103,364.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,474 : 754,890 = 754,890 : x
  2. Step 2: Convert to fraction form
    516,474/754,890 = 754,890/x
  3. Step 3: Cross multiply
    516,474x = 754,890 × 754,890
  4. Step 4: Simplify right side
    516,474x = 569,858,912,100
  5. Step 5: Solve for x
    x = 569,858,912,100/516,474
  6. Step 6: Final answer
    x = 1,103,364.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.