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Finding the Third Proportional to 74,400 and 104,288

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Solution

The third proportional to 74,400 and 104,288 is: 146,182.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,400 : 104,288 = 104,288 : x
  2. Step 2: Convert to fraction form
    74,400/104,288 = 104,288/x
  3. Step 3: Cross multiply
    74,400x = 104,288 × 104,288
  4. Step 4: Simplify right side
    74,400x = 10,875,986,944
  5. Step 5: Solve for x
    x = 10,875,986,944/74,400
  6. Step 6: Final answer
    x = 146,182.62

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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.