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Finding the Third Proportional to 399,287 and 603,089

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Solution

The third proportional to 399,287 and 603,089 is: 910,914.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,287 : 603,089 = 603,089 : x
  2. Step 2: Convert to fraction form
    399,287/603,089 = 603,089/x
  3. Step 3: Cross multiply
    399,287x = 603,089 × 603,089
  4. Step 4: Simplify right side
    399,287x = 363,716,341,921
  5. Step 5: Solve for x
    x = 363,716,341,921/399,287
  6. Step 6: Final answer
    x = 910,914.56

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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.