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Finding the Third Proportional to 51,324 and 78,834

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Solution

The third proportional to 51,324 and 78,834 is: 121,089.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,324 : 78,834 = 78,834 : x
  2. Step 2: Convert to fraction form
    51,324/78,834 = 78,834/x
  3. Step 3: Cross multiply
    51,324x = 78,834 × 78,834
  4. Step 4: Simplify right side
    51,324x = 6,214,799,556
  5. Step 5: Solve for x
    x = 6,214,799,556/51,324
  6. Step 6: Final answer
    x = 121,089.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.