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Finding the Third Proportional to 120,360 and 168,265.50

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Solution

The third proportional to 120,360 and 168,265.50 is: 235,238.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,360 : 168,265.50 = 168,265.50 : x
  2. Step 2: Convert to fraction form
    120,360/168,265.50 = 168,265.50/x
  3. Step 3: Cross multiply
    120,360x = 168,265.50 × 168,265.50
  4. Step 4: Simplify right side
    120,360x = 28,313,278,490.25
  5. Step 5: Solve for x
    x = 28,313,278,490.25/120,360
  6. Step 6: Final answer
    x = 235,238.27

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.