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Finding the Third Proportional to 31,109 and 47,816

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Solution

The third proportional to 31,109 and 47,816 is: 73,495.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,109 : 47,816 = 47,816 : x
  2. Step 2: Convert to fraction form
    31,109/47,816 = 47,816/x
  3. Step 3: Cross multiply
    31,109x = 47,816 × 47,816
  4. Step 4: Simplify right side
    31,109x = 2,286,369,856
  5. Step 5: Solve for x
    x = 2,286,369,856/31,109
  6. Step 6: Final answer
    x = 73,495.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.