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Finding the Third Proportional to 64,863 and 82,881

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Solution

The third proportional to 64,863 and 82,881 is: 105,904.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,863 : 82,881 = 82,881 : x
  2. Step 2: Convert to fraction form
    64,863/82,881 = 82,881/x
  3. Step 3: Cross multiply
    64,863x = 82,881 × 82,881
  4. Step 4: Simplify right side
    64,863x = 6,869,260,161
  5. Step 5: Solve for x
    x = 6,869,260,161/64,863
  6. Step 6: Final answer
    x = 105,904.14

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.