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Finding the Third Proportional to 51,806 and 78,722

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Solution

The third proportional to 51,806 and 78,722 is: 119,622.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,806 : 78,722 = 78,722 : x
  2. Step 2: Convert to fraction form
    51,806/78,722 = 78,722/x
  3. Step 3: Cross multiply
    51,806x = 78,722 × 78,722
  4. Step 4: Simplify right side
    51,806x = 6,197,153,284
  5. Step 5: Solve for x
    x = 6,197,153,284/51,806
  6. Step 6: Final answer
    x = 119,622.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.