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Finding the Third Proportional to 51,480 and 111,678.75

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Solution

The third proportional to 51,480 and 111,678.75 is: 242,271.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,480 : 111,678.75 = 111,678.75 : x
  2. Step 2: Convert to fraction form
    51,480/111,678.75 = 111,678.75/x
  3. Step 3: Cross multiply
    51,480x = 111,678.75 × 111,678.75
  4. Step 4: Simplify right side
    51,480x = 12,472,143,201.56
  5. Step 5: Solve for x
    x = 12,472,143,201.56/51,480
  6. Step 6: Final answer
    x = 242,271.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.