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Finding the Third Proportional to 329,441.63 and 721,920.38

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Solution

The third proportional to 329,441.63 and 721,920.38 is: 1,581,976.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,441.63 : 721,920.38 = 721,920.38 : x
  2. Step 2: Convert to fraction form
    329,441.63/721,920.38 = 721,920.38/x
  3. Step 3: Cross multiply
    329,441.63x = 721,920.38 × 721,920.38
  4. Step 4: Simplify right side
    329,441.63x = 521,169,027,840.14
  5. Step 5: Solve for x
    x = 521,169,027,840.14/329,441.63
  6. Step 6: Final answer
    x = 1,581,976.86

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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.