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Finding the Third Proportional to 84,480 and 179,280

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Solution

The third proportional to 84,480 and 179,280 is: 380,460.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,480 : 179,280 = 179,280 : x
  2. Step 2: Convert to fraction form
    84,480/179,280 = 179,280/x
  3. Step 3: Cross multiply
    84,480x = 179,280 × 179,280
  4. Step 4: Simplify right side
    84,480x = 32,141,318,400
  5. Step 5: Solve for x
    x = 32,141,318,400/84,480
  6. Step 6: Final answer
    x = 380,460.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.