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Finding the Third Proportional to 321,996 and 707,424

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Solution

The third proportional to 321,996 and 707,424 is: 1,554,207.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,996 : 707,424 = 707,424 : x
  2. Step 2: Convert to fraction form
    321,996/707,424 = 707,424/x
  3. Step 3: Cross multiply
    321,996x = 707,424 × 707,424
  4. Step 4: Simplify right side
    321,996x = 500,448,715,776
  5. Step 5: Solve for x
    x = 500,448,715,776/321,996
  6. Step 6: Final answer
    x = 1,554,207.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.