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Finding the Third Proportional to 329,279 and 707,650

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Solution

The third proportional to 329,279 and 707,650 is: 1,520,803.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,279 : 707,650 = 707,650 : x
  2. Step 2: Convert to fraction form
    329,279/707,650 = 707,650/x
  3. Step 3: Cross multiply
    329,279x = 707,650 × 707,650
  4. Step 4: Simplify right side
    329,279x = 500,768,522,500
  5. Step 5: Solve for x
    x = 500,768,522,500/329,279
  6. Step 6: Final answer
    x = 1,520,803.10

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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.