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Finding the Third Proportional to 34,830 and 78,831

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Solution

The third proportional to 34,830 and 78,831 is: 178,418.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,830 : 78,831 = 78,831 : x
  2. Step 2: Convert to fraction form
    34,830/78,831 = 78,831/x
  3. Step 3: Cross multiply
    34,830x = 78,831 × 78,831
  4. Step 4: Simplify right side
    34,830x = 6,214,326,561
  5. Step 5: Solve for x
    x = 6,214,326,561/34,830
  6. Step 6: Final answer
    x = 178,418.79

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.