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Finding the Third Proportional to 40,988 and 90,208

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Solution

The third proportional to 40,988 and 90,208 is: 198,533.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,988 : 90,208 = 90,208 : x
  2. Step 2: Convert to fraction form
    40,988/90,208 = 90,208/x
  3. Step 3: Cross multiply
    40,988x = 90,208 × 90,208
  4. Step 4: Simplify right side
    40,988x = 8,137,483,264
  5. Step 5: Solve for x
    x = 8,137,483,264/40,988
  6. Step 6: Final answer
    x = 198,533.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.