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Finding the Third Proportional to 356,605 and 729,606

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Solution

The third proportional to 356,605 and 729,606 is: 1,492,757.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,605 : 729,606 = 729,606 : x
  2. Step 2: Convert to fraction form
    356,605/729,606 = 729,606/x
  3. Step 3: Cross multiply
    356,605x = 729,606 × 729,606
  4. Step 4: Simplify right side
    356,605x = 532,324,915,236
  5. Step 5: Solve for x
    x = 532,324,915,236/356,605
  6. Step 6: Final answer
    x = 1,492,757.86

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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.