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Finding the Third Proportional to 204,484.50 and 280,756.13

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Solution

The third proportional to 204,484.50 and 280,756.13 is: 385,476.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,484.50 : 280,756.13 = 280,756.13 : x
  2. Step 2: Convert to fraction form
    204,484.50/280,756.13 = 280,756.13/x
  3. Step 3: Cross multiply
    204,484.50x = 280,756.13 × 280,756.13
  4. Step 4: Simplify right side
    204,484.50x = 78,824,001,725.02
  5. Step 5: Solve for x
    x = 78,824,001,725.02/204,484.50
  6. Step 6: Final answer
    x = 385,476.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.