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Finding the Third Proportional to 678,156.75 and 923,532.75

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Solution

The third proportional to 678,156.75 and 923,532.75 is: 1,257,692.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,156.75 : 923,532.75 = 923,532.75 : x
  2. Step 2: Convert to fraction form
    678,156.75/923,532.75 = 923,532.75/x
  3. Step 3: Cross multiply
    678,156.75x = 923,532.75 × 923,532.75
  4. Step 4: Simplify right side
    678,156.75x = 852,912,740,322.56
  5. Step 5: Solve for x
    x = 852,912,740,322.56/678,156.75
  6. Step 6: Final answer
    x = 1,257,692.62

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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.