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Finding the Third Proportional to 40,970 and 63,831

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Solution

The third proportional to 40,970 and 63,831 is: 99,448.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,970 : 63,831 = 63,831 : x
  2. Step 2: Convert to fraction form
    40,970/63,831 = 63,831/x
  3. Step 3: Cross multiply
    40,970x = 63,831 × 63,831
  4. Step 4: Simplify right side
    40,970x = 4,074,396,561
  5. Step 5: Solve for x
    x = 4,074,396,561/40,970
  6. Step 6: Final answer
    x = 99,448.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.