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Finding the Third Proportional to 31,904 and 69,888

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Solution

The third proportional to 31,904 and 69,888 is: 153,094.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,904 : 69,888 = 69,888 : x
  2. Step 2: Convert to fraction form
    31,904/69,888 = 69,888/x
  3. Step 3: Cross multiply
    31,904x = 69,888 × 69,888
  4. Step 4: Simplify right side
    31,904x = 4,884,332,544
  5. Step 5: Solve for x
    x = 4,884,332,544/31,904
  6. Step 6: Final answer
    x = 153,094.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.