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Finding the Third Proportional to 7,860 and 10,776

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Solution

The third proportional to 7,860 and 10,776 is: 14,773.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860 : 10,776 = 10,776 : x
  2. Step 2: Convert to fraction form
    7,860/10,776 = 10,776/x
  3. Step 3: Cross multiply
    7,860x = 10,776 × 10,776
  4. Step 4: Simplify right side
    7,860x = 116,122,176
  5. Step 5: Solve for x
    x = 116,122,176/7,860
  6. Step 6: Final answer
    x = 14,773.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.