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Finding the Third Proportional to 356,601 and 729,598

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Solution

The third proportional to 356,601 and 729,598 is: 1,492,741.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,601 : 729,598 = 729,598 : x
  2. Step 2: Convert to fraction form
    356,601/729,598 = 729,598/x
  3. Step 3: Cross multiply
    356,601x = 729,598 × 729,598
  4. Step 4: Simplify right side
    356,601x = 532,313,241,604
  5. Step 5: Solve for x
    x = 532,313,241,604/356,601
  6. Step 6: Final answer
    x = 1,492,741.86

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.