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Finding the Third Proportional to 19,318 and 40,711

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Solution

The third proportional to 19,318 and 40,711 is: 85,794.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,318 : 40,711 = 40,711 : x
  2. Step 2: Convert to fraction form
    19,318/40,711 = 40,711/x
  3. Step 3: Cross multiply
    19,318x = 40,711 × 40,711
  4. Step 4: Simplify right side
    19,318x = 1,657,385,521
  5. Step 5: Solve for x
    x = 1,657,385,521/19,318
  6. Step 6: Final answer
    x = 85,794.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.