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Finding the Third Proportional to 43,785 and 90,684

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Solution

The third proportional to 43,785 and 90,684 is: 187,817.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,785 : 90,684 = 90,684 : x
  2. Step 2: Convert to fraction form
    43,785/90,684 = 90,684/x
  3. Step 3: Cross multiply
    43,785x = 90,684 × 90,684
  4. Step 4: Simplify right side
    43,785x = 8,223,587,856
  5. Step 5: Solve for x
    x = 8,223,587,856/43,785
  6. Step 6: Final answer
    x = 187,817.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.