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Finding the Third Proportional to 30,991 and 63,817

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Solution

The third proportional to 30,991 and 63,817 is: 131,412.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,991 : 63,817 = 63,817 : x
  2. Step 2: Convert to fraction form
    30,991/63,817 = 63,817/x
  3. Step 3: Cross multiply
    30,991x = 63,817 × 63,817
  4. Step 4: Simplify right side
    30,991x = 4,072,609,489
  5. Step 5: Solve for x
    x = 4,072,609,489/30,991
  6. Step 6: Final answer
    x = 131,412.65

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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.