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Finding the Third Proportional to 329,555 and 708,790

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Solution

The third proportional to 329,555 and 708,790 is: 1,524,429.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,555 : 708,790 = 708,790 : x
  2. Step 2: Convert to fraction form
    329,555/708,790 = 708,790/x
  3. Step 3: Cross multiply
    329,555x = 708,790 × 708,790
  4. Step 4: Simplify right side
    329,555x = 502,383,264,100
  5. Step 5: Solve for x
    x = 502,383,264,100/329,555
  6. Step 6: Final answer
    x = 1,524,429.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.