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Finding the Third Proportional to 356,630 and 743,152

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Solution

The third proportional to 356,630 and 743,152 is: 1,548,593.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,630 : 743,152 = 743,152 : x
  2. Step 2: Convert to fraction form
    356,630/743,152 = 743,152/x
  3. Step 3: Cross multiply
    356,630x = 743,152 × 743,152
  4. Step 4: Simplify right side
    356,630x = 552,274,895,104
  5. Step 5: Solve for x
    x = 552,274,895,104/356,630
  6. Step 6: Final answer
    x = 1,548,593.49

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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.