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Finding the Third Proportional to 408,340 and 598,662

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Solution

The third proportional to 408,340 and 598,662 is: 877,690.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,340 : 598,662 = 598,662 : x
  2. Step 2: Convert to fraction form
    408,340/598,662 = 598,662/x
  3. Step 3: Cross multiply
    408,340x = 598,662 × 598,662
  4. Step 4: Simplify right side
    408,340x = 358,396,190,244
  5. Step 5: Solve for x
    x = 358,396,190,244/408,340
  6. Step 6: Final answer
    x = 877,690.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.