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Finding the Third Proportional to 94,065 and 125,401.50

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Solution

The third proportional to 94,065 and 125,401.50 is: 167,177.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,065 : 125,401.50 = 125,401.50 : x
  2. Step 2: Convert to fraction form
    94,065/125,401.50 = 125,401.50/x
  3. Step 3: Cross multiply
    94,065x = 125,401.50 × 125,401.50
  4. Step 4: Simplify right side
    94,065x = 15,725,536,202.25
  5. Step 5: Solve for x
    x = 15,725,536,202.25/94,065
  6. Step 6: Final answer
    x = 167,177.34

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.