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Finding the Third Proportional to 51,480.25 and 112,802

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Solution

The third proportional to 51,480.25 and 112,802 is: 247,168.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,480.25 : 112,802 = 112,802 : x
  2. Step 2: Convert to fraction form
    51,480.25/112,802 = 112,802/x
  3. Step 3: Cross multiply
    51,480.25x = 112,802 × 112,802
  4. Step 4: Simplify right side
    51,480.25x = 12,724,291,204
  5. Step 5: Solve for x
    x = 12,724,291,204/51,480.25
  6. Step 6: Final answer
    x = 247,168.40

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.