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Finding the Third Proportional to 26,689 and 61,778.50

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Solution

The third proportional to 26,689 and 61,778.50 is: 143,002.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,689 : 61,778.50 = 61,778.50 : x
  2. Step 2: Convert to fraction form
    26,689/61,778.50 = 61,778.50/x
  3. Step 3: Cross multiply
    26,689x = 61,778.50 × 61,778.50
  4. Step 4: Simplify right side
    26,689x = 3,816,583,062.25
  5. Step 5: Solve for x
    x = 3,816,583,062.25/26,689
  6. Step 6: Final answer
    x = 143,002.10

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.