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Finding the Third Proportional to 31,117 and 47,855

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Solution

The third proportional to 31,117 and 47,855 is: 73,596.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,117 : 47,855 = 47,855 : x
  2. Step 2: Convert to fraction form
    31,117/47,855 = 47,855/x
  3. Step 3: Cross multiply
    31,117x = 47,855 × 47,855
  4. Step 4: Simplify right side
    31,117x = 2,290,101,025
  5. Step 5: Solve for x
    x = 2,290,101,025/31,117
  6. Step 6: Final answer
    x = 73,596.46

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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.