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Finding the Third Proportional to 40,690 and 64,311

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Solution

The third proportional to 40,690 and 64,311 is: 101,644.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,690 : 64,311 = 64,311 : x
  2. Step 2: Convert to fraction form
    40,690/64,311 = 64,311/x
  3. Step 3: Cross multiply
    40,690x = 64,311 × 64,311
  4. Step 4: Simplify right side
    40,690x = 4,135,904,721
  5. Step 5: Solve for x
    x = 4,135,904,721/40,690
  6. Step 6: Final answer
    x = 101,644.25

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.