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Finding the Third Proportional to 7,710 and 11,931

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Solution

The third proportional to 7,710 and 11,931 is: 18,462.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710 : 11,931 = 11,931 : x
  2. Step 2: Convert to fraction form
    7,710/11,931 = 11,931/x
  3. Step 3: Cross multiply
    7,710x = 11,931 × 11,931
  4. Step 4: Simplify right side
    7,710x = 142,348,761
  5. Step 5: Solve for x
    x = 142,348,761/7,710
  6. Step 6: Final answer
    x = 18,462.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.