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Finding the Third Proportional to 408,929 and 620,748

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Solution

The third proportional to 408,929 and 620,748 is: 942,286.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,929 : 620,748 = 620,748 : x
  2. Step 2: Convert to fraction form
    408,929/620,748 = 620,748/x
  3. Step 3: Cross multiply
    408,929x = 620,748 × 620,748
  4. Step 4: Simplify right side
    408,929x = 385,328,079,504
  5. Step 5: Solve for x
    x = 385,328,079,504/408,929
  6. Step 6: Final answer
    x = 942,286.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.