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Finding the Third Proportional to 351,138 and 744,108

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Solution

The third proportional to 351,138 and 744,108 is: 1,576,863.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,138 : 744,108 = 744,108 : x
  2. Step 2: Convert to fraction form
    351,138/744,108 = 744,108/x
  3. Step 3: Cross multiply
    351,138x = 744,108 × 744,108
  4. Step 4: Simplify right side
    351,138x = 553,696,715,664
  5. Step 5: Solve for x
    x = 553,696,715,664/351,138
  6. Step 6: Final answer
    x = 1,576,863.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.