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Finding the Third Proportional to 356,649 and 743,187

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Solution

The third proportional to 356,649 and 743,187 is: 1,548,656.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,649 : 743,187 = 743,187 : x
  2. Step 2: Convert to fraction form
    356,649/743,187 = 743,187/x
  3. Step 3: Cross multiply
    356,649x = 743,187 × 743,187
  4. Step 4: Simplify right side
    356,649x = 552,326,916,969
  5. Step 5: Solve for x
    x = 552,326,916,969/356,649
  6. Step 6: Final answer
    x = 1,548,656.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.