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Finding the Third Proportional to 408,906 and 627,635

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Solution

The third proportional to 408,906 and 627,635 is: 963,364.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,906 : 627,635 = 627,635 : x
  2. Step 2: Convert to fraction form
    408,906/627,635 = 627,635/x
  3. Step 3: Cross multiply
    408,906x = 627,635 × 627,635
  4. Step 4: Simplify right side
    408,906x = 393,925,693,225
  5. Step 5: Solve for x
    x = 393,925,693,225/408,906
  6. Step 6: Final answer
    x = 963,364.91

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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.