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Finding the Third Proportional to 31,531 and 47,023

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Solution

The third proportional to 31,531 and 47,023 is: 70,126.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,531 : 47,023 = 47,023 : x
  2. Step 2: Convert to fraction form
    31,531/47,023 = 47,023/x
  3. Step 3: Cross multiply
    31,531x = 47,023 × 47,023
  4. Step 4: Simplify right side
    31,531x = 2,211,162,529
  5. Step 5: Solve for x
    x = 2,211,162,529/31,531
  6. Step 6: Final answer
    x = 70,126.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.