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Finding the Third Proportional to 290,251.50 and 682,971

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Solution

The third proportional to 290,251.50 and 682,971 is: 1,607,052.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,251.50 : 682,971 = 682,971 : x
  2. Step 2: Convert to fraction form
    290,251.50/682,971 = 682,971/x
  3. Step 3: Cross multiply
    290,251.50x = 682,971 × 682,971
  4. Step 4: Simplify right side
    290,251.50x = 466,449,386,841
  5. Step 5: Solve for x
    x = 466,449,386,841/290,251.50
  6. Step 6: Final answer
    x = 1,607,052.46

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.