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Finding the Third Proportional to 80,176.50 and 172,783.13

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Solution

The third proportional to 80,176.50 and 172,783.13 is: 372,353.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,176.50 : 172,783.13 = 172,783.13 : x
  2. Step 2: Convert to fraction form
    80,176.50/172,783.13 = 172,783.13/x
  3. Step 3: Cross multiply
    80,176.50x = 172,783.13 × 172,783.13
  4. Step 4: Simplify right side
    80,176.50x = 29,854,008,284.77
  5. Step 5: Solve for x
    x = 29,854,008,284.77/80,176.50
  6. Step 6: Final answer
    x = 372,353.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.