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Finding the Third Proportional to 321,397 and 705,841

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Solution

The third proportional to 321,397 and 705,841 is: 1,550,143.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,397 : 705,841 = 705,841 : x
  2. Step 2: Convert to fraction form
    321,397/705,841 = 705,841/x
  3. Step 3: Cross multiply
    321,397x = 705,841 × 705,841
  4. Step 4: Simplify right side
    321,397x = 498,211,517,281
  5. Step 5: Solve for x
    x = 498,211,517,281/321,397
  6. Step 6: Final answer
    x = 1,550,143.65

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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.