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Finding the Third Proportional to 120,287.95 and 168,170.34

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Solution

The third proportional to 120,287.95 and 168,170.34 is: 235,113.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,287.95 : 168,170.34 = 168,170.34 : x
  2. Step 2: Convert to fraction form
    120,287.95/168,170.34 = 168,170.34/x
  3. Step 3: Cross multiply
    120,287.95x = 168,170.34 × 168,170.34
  4. Step 4: Simplify right side
    120,287.95x = 28,281,264,516.99
  5. Step 5: Solve for x
    x = 28,281,264,516.99/120,287.95
  6. Step 6: Final answer
    x = 235,113.02

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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.