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Finding the Third Proportional to 78,873.75 and 172,203.47

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Solution

The third proportional to 78,873.75 and 172,203.47 is: 375,968.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,873.75 : 172,203.47 = 172,203.47 : x
  2. Step 2: Convert to fraction form
    78,873.75/172,203.47 = 172,203.47/x
  3. Step 3: Cross multiply
    78,873.75x = 172,203.47 × 172,203.47
  4. Step 4: Simplify right side
    78,873.75x = 29,654,034,649.53
  5. Step 5: Solve for x
    x = 29,654,034,649.53/78,873.75
  6. Step 6: Final answer
    x = 375,968.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.