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Finding the Third Proportional to 40,372 and 69,913

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Solution

The third proportional to 40,372 and 69,913 is: 121,069.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,372 : 69,913 = 69,913 : x
  2. Step 2: Convert to fraction form
    40,372/69,913 = 69,913/x
  3. Step 3: Cross multiply
    40,372x = 69,913 × 69,913
  4. Step 4: Simplify right side
    40,372x = 4,887,827,569
  5. Step 5: Solve for x
    x = 4,887,827,569/40,372
  6. Step 6: Final answer
    x = 121,069.74

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.