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Finding the Third Proportional to 99,042.75 and 172,867.50

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Solution

The third proportional to 99,042.75 and 172,867.50 is: 301,719.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,042.75 : 172,867.50 = 172,867.50 : x
  2. Step 2: Convert to fraction form
    99,042.75/172,867.50 = 172,867.50/x
  3. Step 3: Cross multiply
    99,042.75x = 172,867.50 × 172,867.50
  4. Step 4: Simplify right side
    99,042.75x = 29,883,172,556.25
  5. Step 5: Solve for x
    x = 29,883,172,556.25/99,042.75
  6. Step 6: Final answer
    x = 301,719.94

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.