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Finding the Third Proportional to 74,460 and 151,080

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Solution

The third proportional to 74,460 and 151,080 is: 306,542.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,460 : 151,080 = 151,080 : x
  2. Step 2: Convert to fraction form
    74,460/151,080 = 151,080/x
  3. Step 3: Cross multiply
    74,460x = 151,080 × 151,080
  4. Step 4: Simplify right side
    74,460x = 22,825,166,400
  5. Step 5: Solve for x
    x = 22,825,166,400/74,460
  6. Step 6: Final answer
    x = 306,542.66

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.