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Finding the Third Proportional to 414,066 and 627,309

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Solution

The third proportional to 414,066 and 627,309 is: 950,371.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,066 : 627,309 = 627,309 : x
  2. Step 2: Convert to fraction form
    414,066/627,309 = 627,309/x
  3. Step 3: Cross multiply
    414,066x = 627,309 × 627,309
  4. Step 4: Simplify right side
    414,066x = 393,516,581,481
  5. Step 5: Solve for x
    x = 393,516,581,481/414,066
  6. Step 6: Final answer
    x = 950,371.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.