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Finding the Third Proportional to 63,231 and 135,430

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Solution

The third proportional to 63,231 and 135,430 is: 290,067.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,231 : 135,430 = 135,430 : x
  2. Step 2: Convert to fraction form
    63,231/135,430 = 135,430/x
  3. Step 3: Cross multiply
    63,231x = 135,430 × 135,430
  4. Step 4: Simplify right side
    63,231x = 18,341,284,900
  5. Step 5: Solve for x
    x = 18,341,284,900/63,231
  6. Step 6: Final answer
    x = 290,067.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.