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Finding the Third Proportional to 12,315 and 27,091

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Solution

The third proportional to 12,315 and 27,091 is: 59,595.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,315 : 27,091 = 27,091 : x
  2. Step 2: Convert to fraction form
    12,315/27,091 = 27,091/x
  3. Step 3: Cross multiply
    12,315x = 27,091 × 27,091
  4. Step 4: Simplify right side
    12,315x = 733,922,281
  5. Step 5: Solve for x
    x = 733,922,281/12,315
  6. Step 6: Final answer
    x = 59,595.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.