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Finding the Third Proportional to 285,648.75 and 419,634

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Solution

The third proportional to 285,648.75 and 419,634 is: 616,465.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,648.75 : 419,634 = 419,634 : x
  2. Step 2: Convert to fraction form
    285,648.75/419,634 = 419,634/x
  3. Step 3: Cross multiply
    285,648.75x = 419,634 × 419,634
  4. Step 4: Simplify right side
    285,648.75x = 176,092,693,956
  5. Step 5: Solve for x
    x = 176,092,693,956/285,648.75
  6. Step 6: Final answer
    x = 616,465.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.