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Finding the Third Proportional to 414,562 and 640,168

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Solution

The third proportional to 414,562 and 640,168 is: 988,549.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,562 : 640,168 = 640,168 : x
  2. Step 2: Convert to fraction form
    414,562/640,168 = 640,168/x
  3. Step 3: Cross multiply
    414,562x = 640,168 × 640,168
  4. Step 4: Simplify right side
    414,562x = 409,815,068,224
  5. Step 5: Solve for x
    x = 409,815,068,224/414,562
  6. Step 6: Final answer
    x = 988,549.53

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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.