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Finding the Third Proportional to 180,803.39 and 393,751.13

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Solution

The third proportional to 180,803.39 and 393,751.13 is: 857,505.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,803.39 : 393,751.13 = 393,751.13 : x
  2. Step 2: Convert to fraction form
    180,803.39/393,751.13 = 393,751.13/x
  3. Step 3: Cross multiply
    180,803.39x = 393,751.13 × 393,751.13
  4. Step 4: Simplify right side
    180,803.39x = 155,039,948,438.77
  5. Step 5: Solve for x
    x = 155,039,948,438.77/180,803.39
  6. Step 6: Final answer
    x = 857,505.76

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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.