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Finding the Third Proportional to 12,306.75 and 28,923.75

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Solution

The third proportional to 12,306.75 and 28,923.75 is: 67,977.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,306.75 : 28,923.75 = 28,923.75 : x
  2. Step 2: Convert to fraction form
    12,306.75/28,923.75 = 28,923.75/x
  3. Step 3: Cross multiply
    12,306.75x = 28,923.75 × 28,923.75
  4. Step 4: Simplify right side
    12,306.75x = 836,583,314.06
  5. Step 5: Solve for x
    x = 836,583,314.06/12,306.75
  6. Step 6: Final answer
    x = 67,977.60

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.