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Finding the Third Proportional to 284,431.50 and 656,808.75

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Solution

The third proportional to 284,431.50 and 656,808.75 is: 1,516,701.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,431.50 : 656,808.75 = 656,808.75 : x
  2. Step 2: Convert to fraction form
    284,431.50/656,808.75 = 656,808.75/x
  3. Step 3: Cross multiply
    284,431.50x = 656,808.75 × 656,808.75
  4. Step 4: Simplify right side
    284,431.50x = 431,397,734,076.56
  5. Step 5: Solve for x
    x = 431,397,734,076.56/284,431.50
  6. Step 6: Final answer
    x = 1,516,701.68

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.