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Finding the Third Proportional to 133,257.66 and 287,851.22

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Solution

The third proportional to 133,257.66 and 287,851.22 is: 621,790.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,257.66 : 287,851.22 = 287,851.22 : x
  2. Step 2: Convert to fraction form
    133,257.66/287,851.22 = 287,851.22/x
  3. Step 3: Cross multiply
    133,257.66x = 287,851.22 × 287,851.22
  4. Step 4: Simplify right side
    133,257.66x = 82,858,324,135.86
  5. Step 5: Solve for x
    x = 82,858,324,135.86/133,257.66
  6. Step 6: Final answer
    x = 621,790.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.