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Finding the Third Proportional to 31,686 and 47,433

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Solution

The third proportional to 31,686 and 47,433 is: 71,005.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,686 : 47,433 = 47,433 : x
  2. Step 2: Convert to fraction form
    31,686/47,433 = 47,433/x
  3. Step 3: Cross multiply
    31,686x = 47,433 × 47,433
  4. Step 4: Simplify right side
    31,686x = 2,249,889,489
  5. Step 5: Solve for x
    x = 2,249,889,489/31,686
  6. Step 6: Final answer
    x = 71,005.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.