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Finding the Third Proportional to 31,617 and 47,343

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Solution

The third proportional to 31,617 and 47,343 is: 70,890.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,617 : 47,343 = 47,343 : x
  2. Step 2: Convert to fraction form
    31,617/47,343 = 47,343/x
  3. Step 3: Cross multiply
    31,617x = 47,343 × 47,343
  4. Step 4: Simplify right side
    31,617x = 2,241,359,649
  5. Step 5: Solve for x
    x = 2,241,359,649/31,617
  6. Step 6: Final answer
    x = 70,890.97

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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.