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Finding the Third Proportional to 191,421 and 281,844

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Solution

The third proportional to 191,421 and 281,844 is: 414,980.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,421 : 281,844 = 281,844 : x
  2. Step 2: Convert to fraction form
    191,421/281,844 = 281,844/x
  3. Step 3: Cross multiply
    191,421x = 281,844 × 281,844
  4. Step 4: Simplify right side
    191,421x = 79,436,040,336
  5. Step 5: Solve for x
    x = 79,436,040,336/191,421
  6. Step 6: Final answer
    x = 414,980.80

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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.