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Finding the Third Proportional to 399,371 and 603,216

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Solution

The third proportional to 399,371 and 603,216 is: 911,106.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,371 : 603,216 = 603,216 : x
  2. Step 2: Convert to fraction form
    399,371/603,216 = 603,216/x
  3. Step 3: Cross multiply
    399,371x = 603,216 × 603,216
  4. Step 4: Simplify right side
    399,371x = 363,869,542,656
  5. Step 5: Solve for x
    x = 363,869,542,656/399,371
  6. Step 6: Final answer
    x = 911,106.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.