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Finding the Third Proportional to 191,864 and 290,472

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Solution

The third proportional to 191,864 and 290,472 is: 439,759.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,864 : 290,472 = 290,472 : x
  2. Step 2: Convert to fraction form
    191,864/290,472 = 290,472/x
  3. Step 3: Cross multiply
    191,864x = 290,472 × 290,472
  4. Step 4: Simplify right side
    191,864x = 84,373,982,784
  5. Step 5: Solve for x
    x = 84,373,982,784/191,864
  6. Step 6: Final answer
    x = 439,759.32

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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.