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Finding the Third Proportional to 55,149.75 and 77,661

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Solution

The third proportional to 55,149.75 and 77,661 is: 109,360.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,149.75 : 77,661 = 77,661 : x
  2. Step 2: Convert to fraction form
    55,149.75/77,661 = 77,661/x
  3. Step 3: Cross multiply
    55,149.75x = 77,661 × 77,661
  4. Step 4: Simplify right side
    55,149.75x = 6,031,230,921
  5. Step 5: Solve for x
    x = 6,031,230,921/55,149.75
  6. Step 6: Final answer
    x = 109,360.98

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.