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Finding the Third Proportional to 120,787 and 199,631.50

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Solution

The third proportional to 120,787 and 199,631.50 is: 329,942.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,787 : 199,631.50 = 199,631.50 : x
  2. Step 2: Convert to fraction form
    120,787/199,631.50 = 199,631.50/x
  3. Step 3: Cross multiply
    120,787x = 199,631.50 × 199,631.50
  4. Step 4: Simplify right side
    120,787x = 39,852,735,792.25
  5. Step 5: Solve for x
    x = 39,852,735,792.25/120,787
  6. Step 6: Final answer
    x = 329,942.26

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.