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Finding the Third Proportional to 77,792.91 and 158,439.38

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Solution

The third proportional to 77,792.91 and 158,439.38 is: 322,690.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,792.91 : 158,439.38 = 158,439.38 : x
  2. Step 2: Convert to fraction form
    77,792.91/158,439.38 = 158,439.38/x
  3. Step 3: Cross multiply
    77,792.91x = 158,439.38 × 158,439.38
  4. Step 4: Simplify right side
    77,792.91x = 25,103,035,550.39
  5. Step 5: Solve for x
    x = 25,103,035,550.39/77,792.91
  6. Step 6: Final answer
    x = 322,690.55

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.