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Finding the Third Proportional to 414,502 and 633,781

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Solution

The third proportional to 414,502 and 633,781 is: 969,062.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,502 : 633,781 = 633,781 : x
  2. Step 2: Convert to fraction form
    414,502/633,781 = 633,781/x
  3. Step 3: Cross multiply
    414,502x = 633,781 × 633,781
  4. Step 4: Simplify right side
    414,502x = 401,678,355,961
  5. Step 5: Solve for x
    x = 401,678,355,961/414,502
  6. Step 6: Final answer
    x = 969,062.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.