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Finding the Third Proportional to 27,820.50 and 61,860

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Solution

The third proportional to 27,820.50 and 61,860 is: 137,548.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,820.50 : 61,860 = 61,860 : x
  2. Step 2: Convert to fraction form
    27,820.50/61,860 = 61,860/x
  3. Step 3: Cross multiply
    27,820.50x = 61,860 × 61,860
  4. Step 4: Simplify right side
    27,820.50x = 3,826,659,600
  5. Step 5: Solve for x
    x = 3,826,659,600/27,820.50
  6. Step 6: Final answer
    x = 137,548.20

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.