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Finding the Third Proportional to 215,877.66 and 323,840.53

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Solution

The third proportional to 215,877.66 and 323,840.53 is: 485,796.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,877.66 : 323,840.53 = 323,840.53 : x
  2. Step 2: Convert to fraction form
    215,877.66/323,840.53 = 323,840.53/x
  3. Step 3: Cross multiply
    215,877.66x = 323,840.53 × 323,840.53
  4. Step 4: Simplify right side
    215,877.66x = 104,872,689,680.28
  5. Step 5: Solve for x
    x = 104,872,689,680.28/215,877.66
  6. Step 6: Final answer
    x = 485,796.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.