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Finding the Third Proportional to 285,160.50 and 381,601.13

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Solution

The third proportional to 285,160.50 and 381,601.13 is: 510,657.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,160.50 : 381,601.13 = 381,601.13 : x
  2. Step 2: Convert to fraction form
    285,160.50/381,601.13 = 381,601.13/x
  3. Step 3: Cross multiply
    285,160.50x = 381,601.13 × 381,601.13
  4. Step 4: Simplify right side
    285,160.50x = 145,619,418,601.27
  5. Step 5: Solve for x
    x = 145,619,418,601.27/285,160.50
  6. Step 6: Final answer
    x = 510,657.75

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.