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Finding the Third Proportional to 120,558.38 and 261,878.06

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Solution

The third proportional to 120,558.38 and 261,878.06 is: 568,854.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,558.38 : 261,878.06 = 261,878.06 : x
  2. Step 2: Convert to fraction form
    120,558.38/261,878.06 = 261,878.06/x
  3. Step 3: Cross multiply
    120,558.38x = 261,878.06 × 261,878.06
  4. Step 4: Simplify right side
    120,558.38x = 68,580,119,618.75
  5. Step 5: Solve for x
    x = 68,580,119,618.75/120,558.38
  6. Step 6: Final answer
    x = 568,854.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.