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Finding the Third Proportional to 290,841 and 615,215

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Solution

The third proportional to 290,841 and 615,215 is: 1,301,362.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,841 : 615,215 = 615,215 : x
  2. Step 2: Convert to fraction form
    290,841/615,215 = 615,215/x
  3. Step 3: Cross multiply
    290,841x = 615,215 × 615,215
  4. Step 4: Simplify right side
    290,841x = 378,489,496,225
  5. Step 5: Solve for x
    x = 378,489,496,225/290,841
  6. Step 6: Final answer
    x = 1,301,362.24

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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.