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Finding the Third Proportional to 78,480 and 104,436

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Solution

The third proportional to 78,480 and 104,436 is: 138,976.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,480 : 104,436 = 104,436 : x
  2. Step 2: Convert to fraction form
    78,480/104,436 = 104,436/x
  3. Step 3: Cross multiply
    78,480x = 104,436 × 104,436
  4. Step 4: Simplify right side
    78,480x = 10,906,878,096
  5. Step 5: Solve for x
    x = 10,906,878,096/78,480
  6. Step 6: Final answer
    x = 138,976.53

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.