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Finding the Third Proportional to 180,631.13 and 281,290.50

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Solution

The third proportional to 180,631.13 and 281,290.50 is: 438,043.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,631.13 : 281,290.50 = 281,290.50 : x
  2. Step 2: Convert to fraction form
    180,631.13/281,290.50 = 281,290.50/x
  3. Step 3: Cross multiply
    180,631.13x = 281,290.50 × 281,290.50
  4. Step 4: Simplify right side
    180,631.13x = 79,124,345,390.25
  5. Step 5: Solve for x
    x = 79,124,345,390.25/180,631.13
  6. Step 6: Final answer
    x = 438,043.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.