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Finding the Third Proportional to 138,193.50 and 290,319

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Solution

The third proportional to 138,193.50 and 290,319 is: 609,906.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,193.50 : 290,319 = 290,319 : x
  2. Step 2: Convert to fraction form
    138,193.50/290,319 = 290,319/x
  3. Step 3: Cross multiply
    138,193.50x = 290,319 × 290,319
  4. Step 4: Simplify right side
    138,193.50x = 84,285,121,761
  5. Step 5: Solve for x
    x = 84,285,121,761/138,193.50
  6. Step 6: Final answer
    x = 609,906.56

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.