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Finding the Third Proportional to 74,384 and 104,280

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Solution

The third proportional to 74,384 and 104,280 is: 146,191.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,384 : 104,280 = 104,280 : x
  2. Step 2: Convert to fraction form
    74,384/104,280 = 104,280/x
  3. Step 3: Cross multiply
    74,384x = 104,280 × 104,280
  4. Step 4: Simplify right side
    74,384x = 10,874,318,400
  5. Step 5: Solve for x
    x = 10,874,318,400/74,384
  6. Step 6: Final answer
    x = 146,191.63

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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.