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Finding the Third Proportional to 77,638.50 and 120,219.19

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Solution

The third proportional to 77,638.50 and 120,219.19 is: 186,153.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,638.50 : 120,219.19 = 120,219.19 : x
  2. Step 2: Convert to fraction form
    77,638.50/120,219.19 = 120,219.19/x
  3. Step 3: Cross multiply
    77,638.50x = 120,219.19 × 120,219.19
  4. Step 4: Simplify right side
    77,638.50x = 14,452,653,043.16
  5. Step 5: Solve for x
    x = 14,452,653,043.16/77,638.50
  6. Step 6: Final answer
    x = 186,153.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.