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Finding the Third Proportional to 633,292 and 946,777

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Solution

The third proportional to 633,292 and 946,777 is: 1,415,439.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,292 : 946,777 = 946,777 : x
  2. Step 2: Convert to fraction form
    633,292/946,777 = 946,777/x
  3. Step 3: Cross multiply
    633,292x = 946,777 × 946,777
  4. Step 4: Simplify right side
    633,292x = 896,386,687,729
  5. Step 5: Solve for x
    x = 896,386,687,729/633,292
  6. Step 6: Final answer
    x = 1,415,439.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.