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Finding the Third Proportional to 40,432 and 86,816

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Solution

The third proportional to 40,432 and 86,816 is: 186,412.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,432 : 86,816 = 86,816 : x
  2. Step 2: Convert to fraction form
    40,432/86,816 = 86,816/x
  3. Step 3: Cross multiply
    40,432x = 86,816 × 86,816
  4. Step 4: Simplify right side
    40,432x = 7,537,017,856
  5. Step 5: Solve for x
    x = 7,537,017,856/40,432
  6. Step 6: Final answer
    x = 186,412.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.