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Finding the Third Proportional to 137,998.50 and 297,138

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Solution

The third proportional to 137,998.50 and 297,138 is: 639,796.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,998.50 : 297,138 = 297,138 : x
  2. Step 2: Convert to fraction form
    137,998.50/297,138 = 297,138/x
  3. Step 3: Cross multiply
    137,998.50x = 297,138 × 297,138
  4. Step 4: Simplify right side
    137,998.50x = 88,290,991,044
  5. Step 5: Solve for x
    x = 88,290,991,044/137,998.50
  6. Step 6: Final answer
    x = 639,796.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.