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Finding the Third Proportional to 172,713.25 and 407,127.50

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Solution

The third proportional to 172,713.25 and 407,127.50 is: 959,699.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,713.25 : 407,127.50 = 407,127.50 : x
  2. Step 2: Convert to fraction form
    172,713.25/407,127.50 = 407,127.50/x
  3. Step 3: Cross multiply
    172,713.25x = 407,127.50 × 407,127.50
  4. Step 4: Simplify right side
    172,713.25x = 165,752,801,256.25
  5. Step 5: Solve for x
    x = 165,752,801,256.25/172,713.25
  6. Step 6: Final answer
    x = 959,699.39

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.