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Finding the Third Proportional to 399,235 and 603,011

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Solution

The third proportional to 399,235 and 603,011 is: 910,797.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,235 : 603,011 = 603,011 : x
  2. Step 2: Convert to fraction form
    399,235/603,011 = 603,011/x
  3. Step 3: Cross multiply
    399,235x = 603,011 × 603,011
  4. Step 4: Simplify right side
    399,235x = 363,622,266,121
  5. Step 5: Solve for x
    x = 363,622,266,121/399,235
  6. Step 6: Final answer
    x = 910,797.57

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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.