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Finding the Third Proportional to 64,614 and 87,279

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Solution

The third proportional to 64,614 and 87,279 is: 117,894.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,614 : 87,279 = 87,279 : x
  2. Step 2: Convert to fraction form
    64,614/87,279 = 87,279/x
  3. Step 3: Cross multiply
    64,614x = 87,279 × 87,279
  4. Step 4: Simplify right side
    64,614x = 7,617,623,841
  5. Step 5: Solve for x
    x = 7,617,623,841/64,614
  6. Step 6: Final answer
    x = 117,894.32

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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.