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Finding the Third Proportional to 284,833.97 and 428,173.59

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Solution

The third proportional to 284,833.97 and 428,173.59 is: 643,647.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,833.97 : 428,173.59 = 428,173.59 : x
  2. Step 2: Convert to fraction form
    284,833.97/428,173.59 = 428,173.59/x
  3. Step 3: Cross multiply
    284,833.97x = 428,173.59 × 428,173.59
  4. Step 4: Simplify right side
    284,833.97x = 183,332,626,384.79
  5. Step 5: Solve for x
    x = 183,332,626,384.79/284,833.97
  6. Step 6: Final answer
    x = 643,647.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.