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Finding the Third Proportional to 64,869 and 87,369

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Solution

The third proportional to 64,869 and 87,369 is: 117,673.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,869 : 87,369 = 87,369 : x
  2. Step 2: Convert to fraction form
    64,869/87,369 = 87,369/x
  3. Step 3: Cross multiply
    64,869x = 87,369 × 87,369
  4. Step 4: Simplify right side
    64,869x = 7,633,342,161
  5. Step 5: Solve for x
    x = 7,633,342,161/64,869
  6. Step 6: Final answer
    x = 117,673.19

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.