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Finding the Third Proportional to 61,811 and 82,875

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Solution

The third proportional to 61,811 and 82,875 is: 111,117.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,811 : 82,875 = 82,875 : x
  2. Step 2: Convert to fraction form
    61,811/82,875 = 82,875/x
  3. Step 3: Cross multiply
    61,811x = 82,875 × 82,875
  4. Step 4: Simplify right side
    61,811x = 6,868,265,625
  5. Step 5: Solve for x
    x = 6,868,265,625/61,811
  6. Step 6: Final answer
    x = 111,117.21

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.