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Finding the Third Proportional to 323,804.25 and 687,069

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Solution

The third proportional to 323,804.25 and 687,069 is: 1,457,867.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,804.25 : 687,069 = 687,069 : x
  2. Step 2: Convert to fraction form
    323,804.25/687,069 = 687,069/x
  3. Step 3: Cross multiply
    323,804.25x = 687,069 × 687,069
  4. Step 4: Simplify right side
    323,804.25x = 472,063,810,761
  5. Step 5: Solve for x
    x = 472,063,810,761/323,804.25
  6. Step 6: Final answer
    x = 1,457,867.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.