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Finding the Third Proportional to 64,665 and 86,913

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Solution

The third proportional to 64,665 and 86,913 is: 116,815.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,665 : 86,913 = 86,913 : x
  2. Step 2: Convert to fraction form
    64,665/86,913 = 86,913/x
  3. Step 3: Cross multiply
    64,665x = 86,913 × 86,913
  4. Step 4: Simplify right side
    64,665x = 7,553,869,569
  5. Step 5: Solve for x
    x = 7,553,869,569/64,665
  6. Step 6: Final answer
    x = 116,815.43

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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.