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Finding the Third Proportional to 191,691 and 290,223

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Solution

The third proportional to 191,691 and 290,223 is: 439,401.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,691 : 290,223 = 290,223 : x
  2. Step 2: Convert to fraction form
    191,691/290,223 = 290,223/x
  3. Step 3: Cross multiply
    191,691x = 290,223 × 290,223
  4. Step 4: Simplify right side
    191,691x = 84,229,389,729
  5. Step 5: Solve for x
    x = 84,229,389,729/191,691
  6. Step 6: Final answer
    x = 439,401.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.