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Finding the Third Proportional to 64,734 and 86,934

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Solution

The third proportional to 64,734 and 86,934 is: 116,747.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,734 : 86,934 = 86,934 : x
  2. Step 2: Convert to fraction form
    64,734/86,934 = 86,934/x
  3. Step 3: Cross multiply
    64,734x = 86,934 × 86,934
  4. Step 4: Simplify right side
    64,734x = 7,557,520,356
  5. Step 5: Solve for x
    x = 7,557,520,356/64,734
  6. Step 6: Final answer
    x = 116,747.31

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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.