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Finding the Third Proportional to 180,335.81 and 281,421.56

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Solution

The third proportional to 180,335.81 and 281,421.56 is: 439,170.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,335.81 : 281,421.56 = 281,421.56 : x
  2. Step 2: Convert to fraction form
    180,335.81/281,421.56 = 281,421.56/x
  3. Step 3: Cross multiply
    180,335.81x = 281,421.56 × 281,421.56
  4. Step 4: Simplify right side
    180,335.81x = 79,198,095,839.94
  5. Step 5: Solve for x
    x = 79,198,095,839.94/180,335.81
  6. Step 6: Final answer
    x = 439,170.09

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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.