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Finding the Third Proportional to 285,585.75 and 396,667.13

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Solution

The third proportional to 285,585.75 and 396,667.13 is: 550,954.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,585.75 : 396,667.13 = 396,667.13 : x
  2. Step 2: Convert to fraction form
    285,585.75/396,667.13 = 396,667.13/x
  3. Step 3: Cross multiply
    285,585.75x = 396,667.13 × 396,667.13
  4. Step 4: Simplify right side
    285,585.75x = 157,344,808,055.77
  5. Step 5: Solve for x
    x = 157,344,808,055.77/285,585.75
  6. Step 6: Final answer
    x = 550,954.69

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.