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Finding the Third Proportional to 30,603 and 63,171

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Solution

The third proportional to 30,603 and 63,171 is: 130,398.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,603 : 63,171 = 63,171 : x
  2. Step 2: Convert to fraction form
    30,603/63,171 = 63,171/x
  3. Step 3: Cross multiply
    30,603x = 63,171 × 63,171
  4. Step 4: Simplify right side
    30,603x = 3,990,575,241
  5. Step 5: Solve for x
    x = 3,990,575,241/30,603
  6. Step 6: Final answer
    x = 130,398.17

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.