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Finding the Third Proportional to 18,905 and 40,700

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Solution

The third proportional to 18,905 and 40,700 is: 87,621.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,905 : 40,700 = 40,700 : x
  2. Step 2: Convert to fraction form
    18,905/40,700 = 40,700/x
  3. Step 3: Cross multiply
    18,905x = 40,700 × 40,700
  4. Step 4: Simplify right side
    18,905x = 1,656,490,000
  5. Step 5: Solve for x
    x = 1,656,490,000/18,905
  6. Step 6: Final answer
    x = 87,621.79

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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.