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Finding the Third Proportional to 12,306.75 and 18,572.81

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Solution

The third proportional to 12,306.75 and 18,572.81 is: 28,029.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,306.75 : 18,572.81 = 18,572.81 : x
  2. Step 2: Convert to fraction form
    12,306.75/18,572.81 = 18,572.81/x
  3. Step 3: Cross multiply
    12,306.75x = 18,572.81 × 18,572.81
  4. Step 4: Simplify right side
    12,306.75x = 344,949,364.16
  5. Step 5: Solve for x
    x = 344,949,364.16/12,306.75
  6. Step 6: Final answer
    x = 28,029.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.