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Finding the Third Proportional to 115,690.78 and 178,779.66

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Solution

The third proportional to 115,690.78 and 178,779.66 is: 276,272.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,690.78 : 178,779.66 = 178,779.66 : x
  2. Step 2: Convert to fraction form
    115,690.78/178,779.66 = 178,779.66/x
  3. Step 3: Cross multiply
    115,690.78x = 178,779.66 × 178,779.66
  4. Step 4: Simplify right side
    115,690.78x = 31,962,165,488.87
  5. Step 5: Solve for x
    x = 31,962,165,488.87/115,690.78
  6. Step 6: Final answer
    x = 276,272.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.