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Finding the Third Proportional to 284,713 and 428,932

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Solution

The third proportional to 284,713 and 428,932 is: 646,203.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,713 : 428,932 = 428,932 : x
  2. Step 2: Convert to fraction form
    284,713/428,932 = 428,932/x
  3. Step 3: Cross multiply
    284,713x = 428,932 × 428,932
  4. Step 4: Simplify right side
    284,713x = 183,982,660,624
  5. Step 5: Solve for x
    x = 183,982,660,624/284,713
  6. Step 6: Final answer
    x = 646,203.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.