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Finding the Third Proportional to 399,237 and 603,014

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Solution

The third proportional to 399,237 and 603,014 is: 910,802.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,237 : 603,014 = 603,014 : x
  2. Step 2: Convert to fraction form
    399,237/603,014 = 603,014/x
  3. Step 3: Cross multiply
    399,237x = 603,014 × 603,014
  4. Step 4: Simplify right side
    399,237x = 363,625,884,196
  5. Step 5: Solve for x
    x = 363,625,884,196/399,237
  6. Step 6: Final answer
    x = 910,802.07

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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.