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Finding the Third Proportional to 178,800.75 and 247,880.25

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Solution

The third proportional to 178,800.75 and 247,880.25 is: 343,648.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,800.75 : 247,880.25 = 247,880.25 : x
  2. Step 2: Convert to fraction form
    178,800.75/247,880.25 = 247,880.25/x
  3. Step 3: Cross multiply
    178,800.75x = 247,880.25 × 247,880.25
  4. Step 4: Simplify right side
    178,800.75x = 61,444,618,340.06
  5. Step 5: Solve for x
    x = 61,444,618,340.06/178,800.75
  6. Step 6: Final answer
    x = 343,648.55

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.