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Finding the Third Proportional to 408,972 and 620,826

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Solution

The third proportional to 408,972 and 620,826 is: 942,423.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,972 : 620,826 = 620,826 : x
  2. Step 2: Convert to fraction form
    408,972/620,826 = 620,826/x
  3. Step 3: Cross multiply
    408,972x = 620,826 × 620,826
  4. Step 4: Simplify right side
    408,972x = 385,424,922,276
  5. Step 5: Solve for x
    x = 385,424,922,276/408,972
  6. Step 6: Final answer
    x = 942,423.74

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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.