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Finding the Third Proportional to 329,227.75 and 721,368.25

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Solution

The third proportional to 329,227.75 and 721,368.25 is: 1,580,584.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,227.75 : 721,368.25 = 721,368.25 : x
  2. Step 2: Convert to fraction form
    329,227.75/721,368.25 = 721,368.25/x
  3. Step 3: Cross multiply
    329,227.75x = 721,368.25 × 721,368.25
  4. Step 4: Simplify right side
    329,227.75x = 520,372,152,108.06
  5. Step 5: Solve for x
    x = 520,372,152,108.06/329,227.75
  6. Step 6: Final answer
    x = 1,580,584.12

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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.