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Finding the Third Proportional to 28,815.75 and 66,683.25

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Solution

The third proportional to 28,815.75 and 66,683.25 is: 154,313.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,815.75 : 66,683.25 = 66,683.25 : x
  2. Step 2: Convert to fraction form
    28,815.75/66,683.25 = 66,683.25/x
  3. Step 3: Cross multiply
    28,815.75x = 66,683.25 × 66,683.25
  4. Step 4: Simplify right side
    28,815.75x = 4,446,655,830.56
  5. Step 5: Solve for x
    x = 4,446,655,830.56/28,815.75
  6. Step 6: Final answer
    x = 154,313.38

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.