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Finding the Third Proportional to 323,390.81 and 680,294.53

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Solution

The third proportional to 323,390.81 and 680,294.53 is: 1,431,087.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,390.81 : 680,294.53 = 680,294.53 : x
  2. Step 2: Convert to fraction form
    323,390.81/680,294.53 = 680,294.53/x
  3. Step 3: Cross multiply
    323,390.81x = 680,294.53 × 680,294.53
  4. Step 4: Simplify right side
    323,390.81x = 462,800,649,248.66
  5. Step 5: Solve for x
    x = 462,800,649,248.66/323,390.81
  6. Step 6: Final answer
    x = 1,431,087.81

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.