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Finding the Third Proportional to 77,101.50 and 120,977.25

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Solution

The third proportional to 77,101.50 and 120,977.25 is: 189,821.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,101.50 : 120,977.25 = 120,977.25 : x
  2. Step 2: Convert to fraction form
    77,101.50/120,977.25 = 120,977.25/x
  3. Step 3: Cross multiply
    77,101.50x = 120,977.25 × 120,977.25
  4. Step 4: Simplify right side
    77,101.50x = 14,635,495,017.56
  5. Step 5: Solve for x
    x = 14,635,495,017.56/77,101.50
  6. Step 6: Final answer
    x = 189,821.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.