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Finding the Third Proportional to 146,721.38 and 321,478.88

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Solution

The third proportional to 146,721.38 and 321,478.88 is: 704,387.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,721.38 : 321,478.88 = 321,478.88 : x
  2. Step 2: Convert to fraction form
    146,721.38/321,478.88 = 321,478.88/x
  3. Step 3: Cross multiply
    146,721.38x = 321,478.88 × 321,478.88
  4. Step 4: Simplify right side
    146,721.38x = 103,348,667,071.27
  5. Step 5: Solve for x
    x = 103,348,667,071.27/146,721.38
  6. Step 6: Final answer
    x = 704,387.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.