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Finding the Third Proportional to 321,719 and 706,888

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Solution

The third proportional to 321,719 and 706,888 is: 1,553,189.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,719 : 706,888 = 706,888 : x
  2. Step 2: Convert to fraction form
    321,719/706,888 = 706,888/x
  3. Step 3: Cross multiply
    321,719x = 706,888 × 706,888
  4. Step 4: Simplify right side
    321,719x = 499,690,644,544
  5. Step 5: Solve for x
    x = 499,690,644,544/321,719
  6. Step 6: Final answer
    x = 1,553,189.72

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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.