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Finding the Third Proportional to 356,643 and 743,166

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Solution

The third proportional to 356,643 and 743,166 is: 1,548,595.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,643 : 743,166 = 743,166 : x
  2. Step 2: Convert to fraction form
    356,643/743,166 = 743,166/x
  3. Step 3: Cross multiply
    356,643x = 743,166 × 743,166
  4. Step 4: Simplify right side
    356,643x = 552,295,703,556
  5. Step 5: Solve for x
    x = 552,295,703,556/356,643
  6. Step 6: Final answer
    x = 1,548,595.38

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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.