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Finding the Third Proportional to 678,154 and 923,529

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Solution

The third proportional to 678,154 and 923,529 is: 1,257,687.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,154 : 923,529 = 923,529 : x
  2. Step 2: Convert to fraction form
    678,154/923,529 = 923,529/x
  3. Step 3: Cross multiply
    678,154x = 923,529 × 923,529
  4. Step 4: Simplify right side
    678,154x = 852,905,813,841
  5. Step 5: Solve for x
    x = 852,905,813,841/678,154
  6. Step 6: Final answer
    x = 1,257,687.51

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.