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Finding the Third Proportional to 73,147.78 and 159,690.94

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Solution

The third proportional to 73,147.78 and 159,690.94 is: 348,625.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,147.78 : 159,690.94 = 159,690.94 : x
  2. Step 2: Convert to fraction form
    73,147.78/159,690.94 = 159,690.94/x
  3. Step 3: Cross multiply
    73,147.78x = 159,690.94 × 159,690.94
  4. Step 4: Simplify right side
    73,147.78x = 25,501,195,519.63
  5. Step 5: Solve for x
    x = 25,501,195,519.63/73,147.78
  6. Step 6: Final answer
    x = 348,625.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.