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Finding the Third Proportional to 290,082 and 615,012

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Solution

The third proportional to 290,082 and 615,012 is: 1,303,906.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,082 : 615,012 = 615,012 : x
  2. Step 2: Convert to fraction form
    290,082/615,012 = 615,012/x
  3. Step 3: Cross multiply
    290,082x = 615,012 × 615,012
  4. Step 4: Simplify right side
    290,082x = 378,239,760,144
  5. Step 5: Solve for x
    x = 378,239,760,144/290,082
  6. Step 6: Final answer
    x = 1,303,906.34

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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.