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Finding the Third Proportional to 68,454 and 147,027.38

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Solution

The third proportional to 68,454 and 147,027.38 is: 315,789.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,454 : 147,027.38 = 147,027.38 : x
  2. Step 2: Convert to fraction form
    68,454/147,027.38 = 147,027.38/x
  3. Step 3: Cross multiply
    68,454x = 147,027.38 × 147,027.38
  4. Step 4: Simplify right side
    68,454x = 21,617,048,999.39
  5. Step 5: Solve for x
    x = 21,617,048,999.39/68,454
  6. Step 6: Final answer
    x = 315,789.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.