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Finding the Third Proportional to 172,100.81 and 372,803.91

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Solution

The third proportional to 172,100.81 and 372,803.91 is: 807,565.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,100.81 : 372,803.91 = 372,803.91 : x
  2. Step 2: Convert to fraction form
    172,100.81/372,803.91 = 372,803.91/x
  3. Step 3: Cross multiply
    172,100.81x = 372,803.91 × 372,803.91
  4. Step 4: Simplify right side
    172,100.81x = 138,982,752,515.26
  5. Step 5: Solve for x
    x = 138,982,752,515.26/172,100.81
  6. Step 6: Final answer
    x = 807,565.93

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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.