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Finding the Third Proportional to 321,720 and 706,890

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Solution

The third proportional to 321,720 and 706,890 is: 1,553,193.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,720 : 706,890 = 706,890 : x
  2. Step 2: Convert to fraction form
    321,720/706,890 = 706,890/x
  3. Step 3: Cross multiply
    321,720x = 706,890 × 706,890
  4. Step 4: Simplify right side
    321,720x = 499,693,472,100
  5. Step 5: Solve for x
    x = 499,693,472,100/321,720
  6. Step 6: Final answer
    x = 1,553,193.68

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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.