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Finding the Third Proportional to 133,435.50 and 293,115

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Solution

The third proportional to 133,435.50 and 293,115 is: 643,879.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,435.50 : 293,115 = 293,115 : x
  2. Step 2: Convert to fraction form
    133,435.50/293,115 = 293,115/x
  3. Step 3: Cross multiply
    133,435.50x = 293,115 × 293,115
  4. Step 4: Simplify right side
    133,435.50x = 85,916,403,225
  5. Step 5: Solve for x
    x = 85,916,403,225/133,435.50
  6. Step 6: Final answer
    x = 643,879.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.