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Finding the Third Proportional to 12,658.78 and 34,278.19

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Solution

The third proportional to 12,658.78 and 34,278.19 is: 92,820.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,658.78 : 34,278.19 = 34,278.19 : x
  2. Step 2: Convert to fraction form
    12,658.78/34,278.19 = 34,278.19/x
  3. Step 3: Cross multiply
    12,658.78x = 34,278.19 × 34,278.19
  4. Step 4: Simplify right side
    12,658.78x = 1,174,994,138.29
  5. Step 5: Solve for x
    x = 1,174,994,138.29/12,658.78
  6. Step 6: Final answer
    x = 92,820.48

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.