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Finding the Third Proportional to 12,435.75 and 28,878.75

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Solution

The third proportional to 12,435.75 and 28,878.75 is: 67,063.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,435.75 : 28,878.75 = 28,878.75 : x
  2. Step 2: Convert to fraction form
    12,435.75/28,878.75 = 28,878.75/x
  3. Step 3: Cross multiply
    12,435.75x = 28,878.75 × 28,878.75
  4. Step 4: Simplify right side
    12,435.75x = 833,982,201.56
  5. Step 5: Solve for x
    x = 833,982,201.56/12,435.75
  6. Step 6: Final answer
    x = 67,063.28

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.