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Finding the Third Proportional to 31,751 and 69,729

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Solution

The third proportional to 31,751 and 69,729 is: 153,133.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,751 : 69,729 = 69,729 : x
  2. Step 2: Convert to fraction form
    31,751/69,729 = 69,729/x
  3. Step 3: Cross multiply
    31,751x = 69,729 × 69,729
  4. Step 4: Simplify right side
    31,751x = 4,862,133,441
  5. Step 5: Solve for x
    x = 4,862,133,441/31,751
  6. Step 6: Final answer
    x = 153,133.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.