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Finding the Third Proportional to 414,881 and 640,748

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Solution

The third proportional to 414,881 and 640,748 is: 989,580.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,881 : 640,748 = 640,748 : x
  2. Step 2: Convert to fraction form
    414,881/640,748 = 640,748/x
  3. Step 3: Cross multiply
    414,881x = 640,748 × 640,748
  4. Step 4: Simplify right side
    414,881x = 410,557,999,504
  5. Step 5: Solve for x
    x = 410,557,999,504/414,881
  6. Step 6: Final answer
    x = 989,580.14

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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.