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Finding the Third Proportional to 74,584 and 104,280

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Solution

The third proportional to 74,584 and 104,280 is: 145,799.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,584 : 104,280 = 104,280 : x
  2. Step 2: Convert to fraction form
    74,584/104,280 = 104,280/x
  3. Step 3: Cross multiply
    74,584x = 104,280 × 104,280
  4. Step 4: Simplify right side
    74,584x = 10,874,318,400
  5. Step 5: Solve for x
    x = 10,874,318,400/74,584
  6. Step 6: Final answer
    x = 145,799.61

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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.