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Finding the Third Proportional to 414,724 and 640,420

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Solution

The third proportional to 414,724 and 640,420 is: 988,941.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,724 : 640,420 = 640,420 : x
  2. Step 2: Convert to fraction form
    414,724/640,420 = 640,420/x
  3. Step 3: Cross multiply
    414,724x = 640,420 × 640,420
  4. Step 4: Simplify right side
    414,724x = 410,137,776,400
  5. Step 5: Solve for x
    x = 410,137,776,400/414,724
  6. Step 6: Final answer
    x = 988,941.50

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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.