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Finding the Third Proportional to 64,508 and 86,906

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Solution

The third proportional to 64,508 and 86,906 is: 117,080.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,508 : 86,906 = 86,906 : x
  2. Step 2: Convert to fraction form
    64,508/86,906 = 86,906/x
  3. Step 3: Cross multiply
    64,508x = 86,906 × 86,906
  4. Step 4: Simplify right side
    64,508x = 7,552,652,836
  5. Step 5: Solve for x
    x = 7,552,652,836/64,508
  6. Step 6: Final answer
    x = 117,080.87

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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.