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Finding the Third Proportional to 18,688 and 40,816

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Solution

The third proportional to 18,688 and 40,816 is: 89,145.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,688 : 40,816 = 40,816 : x
  2. Step 2: Convert to fraction form
    18,688/40,816 = 40,816/x
  3. Step 3: Cross multiply
    18,688x = 40,816 × 40,816
  4. Step 4: Simplify right side
    18,688x = 1,665,945,856
  5. Step 5: Solve for x
    x = 1,665,945,856/18,688
  6. Step 6: Final answer
    x = 89,145.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.