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Finding the Third Proportional to 344,003 and 518,021

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Solution

The third proportional to 344,003 and 518,021 is: 780,068.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,003 : 518,021 = 518,021 : x
  2. Step 2: Convert to fraction form
    344,003/518,021 = 518,021/x
  3. Step 3: Cross multiply
    344,003x = 518,021 × 518,021
  4. Step 4: Simplify right side
    344,003x = 268,345,756,441
  5. Step 5: Solve for x
    x = 268,345,756,441/344,003
  6. Step 6: Final answer
    x = 780,068.07

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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.