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Finding the Third Proportional to 30,486 and 47,181

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Solution

The third proportional to 30,486 and 47,181 is: 73,018.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,486 : 47,181 = 47,181 : x
  2. Step 2: Convert to fraction form
    30,486/47,181 = 47,181/x
  3. Step 3: Cross multiply
    30,486x = 47,181 × 47,181
  4. Step 4: Simplify right side
    30,486x = 2,226,046,761
  5. Step 5: Solve for x
    x = 2,226,046,761/30,486
  6. Step 6: Final answer
    x = 73,018.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.