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Finding the Third Proportional to 191,821 and 290,396

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Solution

The third proportional to 191,821 and 290,396 is: 439,627.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,821 : 290,396 = 290,396 : x
  2. Step 2: Convert to fraction form
    191,821/290,396 = 290,396/x
  3. Step 3: Cross multiply
    191,821x = 290,396 × 290,396
  4. Step 4: Simplify right side
    191,821x = 84,329,836,816
  5. Step 5: Solve for x
    x = 84,329,836,816/191,821
  6. Step 6: Final answer
    x = 439,627.76

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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.