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Finding the Third Proportional to 399,233 and 603,008

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Solution

The third proportional to 399,233 and 603,008 is: 910,793.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,233 : 603,008 = 603,008 : x
  2. Step 2: Convert to fraction form
    399,233/603,008 = 603,008/x
  3. Step 3: Cross multiply
    399,233x = 603,008 × 603,008
  4. Step 4: Simplify right side
    399,233x = 363,618,648,064
  5. Step 5: Solve for x
    x = 363,618,648,064/399,233
  6. Step 6: Final answer
    x = 910,793.07

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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.