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Finding the Third Proportional to 290,842 and 615,218

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Solution

The third proportional to 290,842 and 615,218 is: 1,301,370.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,842 : 615,218 = 615,218 : x
  2. Step 2: Convert to fraction form
    290,842/615,218 = 615,218/x
  3. Step 3: Cross multiply
    290,842x = 615,218 × 615,218
  4. Step 4: Simplify right side
    290,842x = 378,493,187,524
  5. Step 5: Solve for x
    x = 378,493,187,524/290,842
  6. Step 6: Final answer
    x = 1,301,370.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.