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Finding the Third Proportional to 128,496.38 and 284,532.75

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Solution

The third proportional to 128,496.38 and 284,532.75 is: 630,048.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,496.38 : 284,532.75 = 284,532.75 : x
  2. Step 2: Convert to fraction form
    128,496.38/284,532.75 = 284,532.75/x
  3. Step 3: Cross multiply
    128,496.38x = 284,532.75 × 284,532.75
  4. Step 4: Simplify right side
    128,496.38x = 80,958,885,822.56
  5. Step 5: Solve for x
    x = 80,958,885,822.56/128,496.38
  6. Step 6: Final answer
    x = 630,048.01

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.