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Finding the Third Proportional to 180,811.13 and 393,766.31

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Solution

The third proportional to 180,811.13 and 393,766.31 is: 857,535.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,811.13 : 393,766.31 = 393,766.31 : x
  2. Step 2: Convert to fraction form
    180,811.13/393,766.31 = 393,766.31/x
  3. Step 3: Cross multiply
    180,811.13x = 393,766.31 × 393,766.31
  4. Step 4: Simplify right side
    180,811.13x = 155,051,908,859.85
  5. Step 5: Solve for x
    x = 155,051,908,859.85/180,811.13
  6. Step 6: Final answer
    x = 857,535.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.