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Finding the Third Proportional to 77,806 and 110,102.50

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Solution

The third proportional to 77,806 and 110,102.50 is: 155,804.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,806 : 110,102.50 = 110,102.50 : x
  2. Step 2: Convert to fraction form
    77,806/110,102.50 = 110,102.50/x
  3. Step 3: Cross multiply
    77,806x = 110,102.50 × 110,102.50
  4. Step 4: Simplify right side
    77,806x = 12,122,560,506.25
  5. Step 5: Solve for x
    x = 12,122,560,506.25/77,806
  6. Step 6: Final answer
    x = 155,804.96

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.