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Finding the Third Proportional to 414,486 and 640,053

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Solution

The third proportional to 414,486 and 640,053 is: 988,375.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,486 : 640,053 = 640,053 : x
  2. Step 2: Convert to fraction form
    414,486/640,053 = 640,053/x
  3. Step 3: Cross multiply
    414,486x = 640,053 × 640,053
  4. Step 4: Simplify right side
    414,486x = 409,667,842,809
  5. Step 5: Solve for x
    x = 409,667,842,809/414,486
  6. Step 6: Final answer
    x = 988,375.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.