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Finding the Third Proportional to 172,967.91 and 379,987.88

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Solution

The third proportional to 172,967.91 and 379,987.88 is: 834,783.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,967.91 : 379,987.88 = 379,987.88 : x
  2. Step 2: Convert to fraction form
    172,967.91/379,987.88 = 379,987.88/x
  3. Step 3: Cross multiply
    172,967.91x = 379,987.88 × 379,987.88
  4. Step 4: Simplify right side
    172,967.91x = 144,390,785,147.02
  5. Step 5: Solve for x
    x = 144,390,785,147.02/172,967.91
  6. Step 6: Final answer
    x = 834,783.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.