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Finding the Third Proportional to 318,290 and 700,548

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Solution

The third proportional to 318,290 and 700,548 is: 1,541,887.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,290 : 700,548 = 700,548 : x
  2. Step 2: Convert to fraction form
    318,290/700,548 = 700,548/x
  3. Step 3: Cross multiply
    318,290x = 700,548 × 700,548
  4. Step 4: Simplify right side
    318,290x = 490,767,500,304
  5. Step 5: Solve for x
    x = 490,767,500,304/318,290
  6. Step 6: Final answer
    x = 1,541,887.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.