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Finding the Third Proportional to 191,371 and 281,520

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Solution

The third proportional to 191,371 and 281,520 is: 414,135.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,371 : 281,520 = 281,520 : x
  2. Step 2: Convert to fraction form
    191,371/281,520 = 281,520/x
  3. Step 3: Cross multiply
    191,371x = 281,520 × 281,520
  4. Step 4: Simplify right side
    191,371x = 79,253,510,400
  5. Step 5: Solve for x
    x = 79,253,510,400/191,371
  6. Step 6: Final answer
    x = 414,135.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.