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Finding the Third Proportional to 81,574.50 and 167,541

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Solution

The third proportional to 81,574.50 and 167,541 is: 344,102.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,574.50 : 167,541 = 167,541 : x
  2. Step 2: Convert to fraction form
    81,574.50/167,541 = 167,541/x
  3. Step 3: Cross multiply
    81,574.50x = 167,541 × 167,541
  4. Step 4: Simplify right side
    81,574.50x = 28,069,986,681
  5. Step 5: Solve for x
    x = 28,069,986,681/81,574.50
  6. Step 6: Final answer
    x = 344,102.47

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.