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Finding the Third Proportional to 328,395 and 707,448

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Solution

The third proportional to 328,395 and 707,448 is: 1,524,026.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,395 : 707,448 = 707,448 : x
  2. Step 2: Convert to fraction form
    328,395/707,448 = 707,448/x
  3. Step 3: Cross multiply
    328,395x = 707,448 × 707,448
  4. Step 4: Simplify right side
    328,395x = 500,482,672,704
  5. Step 5: Solve for x
    x = 500,482,672,704/328,395
  6. Step 6: Final answer
    x = 1,524,026.47

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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.