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Finding the Third Proportional to 131,305 and 191,217

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Solution

The third proportional to 131,305 and 191,217 is: 278,465.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,305 : 191,217 = 191,217 : x
  2. Step 2: Convert to fraction form
    131,305/191,217 = 191,217/x
  3. Step 3: Cross multiply
    131,305x = 191,217 × 191,217
  4. Step 4: Simplify right side
    131,305x = 36,563,941,089
  5. Step 5: Solve for x
    x = 36,563,941,089/131,305
  6. Step 6: Final answer
    x = 278,465.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.