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Finding the Third Proportional to 285,792.75 and 420,793.88

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Solution

The third proportional to 285,792.75 and 420,793.88 is: 619,566.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,792.75 : 420,793.88 = 420,793.88 : x
  2. Step 2: Convert to fraction form
    285,792.75/420,793.88 = 420,793.88/x
  3. Step 3: Cross multiply
    285,792.75x = 420,793.88 × 420,793.88
  4. Step 4: Simplify right side
    285,792.75x = 177,067,485,237.52
  5. Step 5: Solve for x
    x = 177,067,485,237.52/285,792.75
  6. Step 6: Final answer
    x = 619,566.05

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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.