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Finding the Third Proportional to 328,723 and 707,380

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Solution

The third proportional to 328,723 and 707,380 is: 1,522,213.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,723 : 707,380 = 707,380 : x
  2. Step 2: Convert to fraction form
    328,723/707,380 = 707,380/x
  3. Step 3: Cross multiply
    328,723x = 707,380 × 707,380
  4. Step 4: Simplify right side
    328,723x = 500,386,464,400
  5. Step 5: Solve for x
    x = 500,386,464,400/328,723
  6. Step 6: Final answer
    x = 1,522,213.12

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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.