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Finding the Third Proportional to 194,691 and 422,430

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Solution

The third proportional to 194,691 and 422,430 is: 916,565.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,691 : 422,430 = 422,430 : x
  2. Step 2: Convert to fraction form
    194,691/422,430 = 422,430/x
  3. Step 3: Cross multiply
    194,691x = 422,430 × 422,430
  4. Step 4: Simplify right side
    194,691x = 178,447,104,900
  5. Step 5: Solve for x
    x = 178,447,104,900/194,691
  6. Step 6: Final answer
    x = 916,565.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.