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Finding the Third Proportional to 155,920 and 336,785

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Solution

The third proportional to 155,920 and 336,785 is: 727,450.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,920 : 336,785 = 336,785 : x
  2. Step 2: Convert to fraction form
    155,920/336,785 = 336,785/x
  3. Step 3: Cross multiply
    155,920x = 336,785 × 336,785
  4. Step 4: Simplify right side
    155,920x = 113,424,136,225
  5. Step 5: Solve for x
    x = 113,424,136,225/155,920
  6. Step 6: Final answer
    x = 727,450.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.