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Finding the Third Proportional to 64,869 and 82,887

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Solution

The third proportional to 64,869 and 82,887 is: 105,909.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,869 : 82,887 = 82,887 : x
  2. Step 2: Convert to fraction form
    64,869/82,887 = 82,887/x
  3. Step 3: Cross multiply
    64,869x = 82,887 × 82,887
  4. Step 4: Simplify right side
    64,869x = 6,870,254,769
  5. Step 5: Solve for x
    x = 6,870,254,769/64,869
  6. Step 6: Final answer
    x = 105,909.68

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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.