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Finding the Third Proportional to 9,115.88 and 12,306.94

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Solution

The third proportional to 9,115.88 and 12,306.94 is: 16,615.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,115.88 : 12,306.94 = 12,306.94 : x
  2. Step 2: Convert to fraction form
    9,115.88/12,306.94 = 12,306.94/x
  3. Step 3: Cross multiply
    9,115.88x = 12,306.94 × 12,306.94
  4. Step 4: Simplify right side
    9,115.88x = 151,460,710.63
  5. Step 5: Solve for x
    x = 151,460,710.63/9,115.88
  6. Step 6: Final answer
    x = 16,615.05

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.