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Finding the Third Proportional to 329,180 and 707,466

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Solution

The third proportional to 329,180 and 707,466 is: 1,520,469.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,180 : 707,466 = 707,466 : x
  2. Step 2: Convert to fraction form
    329,180/707,466 = 707,466/x
  3. Step 3: Cross multiply
    329,180x = 707,466 × 707,466
  4. Step 4: Simplify right side
    329,180x = 500,508,141,156
  5. Step 5: Solve for x
    x = 500,508,141,156/329,180
  6. Step 6: Final answer
    x = 1,520,469.47

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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.