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Finding the Third Proportional to 345,612 and 708,442

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Solution

The third proportional to 345,612 and 708,442 is: 1,452,177.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,612 : 708,442 = 708,442 : x
  2. Step 2: Convert to fraction form
    345,612/708,442 = 708,442/x
  3. Step 3: Cross multiply
    345,612x = 708,442 × 708,442
  4. Step 4: Simplify right side
    345,612x = 501,890,067,364
  5. Step 5: Solve for x
    x = 501,890,067,364/345,612
  6. Step 6: Final answer
    x = 1,452,177.78

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.