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Finding the Third Proportional to 578,450 and 889,665

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Solution

The third proportional to 578,450 and 889,665 is: 1,368,318.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,450 : 889,665 = 889,665 : x
  2. Step 2: Convert to fraction form
    578,450/889,665 = 889,665/x
  3. Step 3: Cross multiply
    578,450x = 889,665 × 889,665
  4. Step 4: Simplify right side
    578,450x = 791,503,812,225
  5. Step 5: Solve for x
    x = 791,503,812,225/578,450
  6. Step 6: Final answer
    x = 1,368,318.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.