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Finding the Third Proportional to 12,731 and 27,910

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Solution

The third proportional to 12,731 and 27,910 is: 61,186.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,731 : 27,910 = 27,910 : x
  2. Step 2: Convert to fraction form
    12,731/27,910 = 27,910/x
  3. Step 3: Cross multiply
    12,731x = 27,910 × 27,910
  4. Step 4: Simplify right side
    12,731x = 778,968,100
  5. Step 5: Solve for x
    x = 778,968,100/12,731
  6. Step 6: Final answer
    x = 61,186.72

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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.