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Finding the Third Proportional to 290,008 and 642,226

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Solution

The third proportional to 290,008 and 642,226 is: 1,422,216.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,008 : 642,226 = 642,226 : x
  2. Step 2: Convert to fraction form
    290,008/642,226 = 642,226/x
  3. Step 3: Cross multiply
    290,008x = 642,226 × 642,226
  4. Step 4: Simplify right side
    290,008x = 412,454,235,076
  5. Step 5: Solve for x
    x = 412,454,235,076/290,008
  6. Step 6: Final answer
    x = 1,422,216.75

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.