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Finding the Third Proportional to 191,760 and 290,322

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Solution

The third proportional to 191,760 and 290,322 is: 439,543.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,760 : 290,322 = 290,322 : x
  2. Step 2: Convert to fraction form
    191,760/290,322 = 290,322/x
  3. Step 3: Cross multiply
    191,760x = 290,322 × 290,322
  4. Step 4: Simplify right side
    191,760x = 84,286,863,684
  5. Step 5: Solve for x
    x = 84,286,863,684/191,760
  6. Step 6: Final answer
    x = 439,543.51

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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.