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Finding the Third Proportional to 84,176.72 and 155,778.19

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Solution

The third proportional to 84,176.72 and 155,778.19 is: 288,284.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,176.72 : 155,778.19 = 155,778.19 : x
  2. Step 2: Convert to fraction form
    84,176.72/155,778.19 = 155,778.19/x
  3. Step 3: Cross multiply
    84,176.72x = 155,778.19 × 155,778.19
  4. Step 4: Simplify right side
    84,176.72x = 24,266,843,700.79
  5. Step 5: Solve for x
    x = 24,266,843,700.79/84,176.72
  6. Step 6: Final answer
    x = 288,284.51

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.