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Finding the Third Proportional to 172,109.25 and 372,811.50

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Solution

The third proportional to 172,109.25 and 372,811.50 is: 807,559.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,109.25 : 372,811.50 = 372,811.50 : x
  2. Step 2: Convert to fraction form
    172,109.25/372,811.50 = 372,811.50/x
  3. Step 3: Cross multiply
    172,109.25x = 372,811.50 × 372,811.50
  4. Step 4: Simplify right side
    172,109.25x = 138,988,414,532.25
  5. Step 5: Solve for x
    x = 138,988,414,532.25/172,109.25
  6. Step 6: Final answer
    x = 807,559.24

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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.