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Finding the Third Proportional to 418,246 and 628,313

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Solution

The third proportional to 418,246 and 628,313 is: 943,887.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,246 : 628,313 = 628,313 : x
  2. Step 2: Convert to fraction form
    418,246/628,313 = 628,313/x
  3. Step 3: Cross multiply
    418,246x = 628,313 × 628,313
  4. Step 4: Simplify right side
    418,246x = 394,777,225,969
  5. Step 5: Solve for x
    x = 394,777,225,969/418,246
  6. Step 6: Final answer
    x = 943,887.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.