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Finding the Third Proportional to 74,272.57 and 154,234.76

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Solution

The third proportional to 74,272.57 and 154,234.76 is: 320,284.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,272.57 : 154,234.76 = 154,234.76 : x
  2. Step 2: Convert to fraction form
    74,272.57/154,234.76 = 154,234.76/x
  3. Step 3: Cross multiply
    74,272.57x = 154,234.76 × 154,234.76
  4. Step 4: Simplify right side
    74,272.57x = 23,788,360,517.48
  5. Step 5: Solve for x
    x = 23,788,360,517.48/74,272.57
  6. Step 6: Final answer
    x = 320,284.60

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.