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Finding the Third Proportional to 228,121.50 and 340,314

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Solution

The third proportional to 228,121.50 and 340,314 is: 507,683.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,121.50 : 340,314 = 340,314 : x
  2. Step 2: Convert to fraction form
    228,121.50/340,314 = 340,314/x
  3. Step 3: Cross multiply
    228,121.50x = 340,314 × 340,314
  4. Step 4: Simplify right side
    228,121.50x = 115,813,618,596
  5. Step 5: Solve for x
    x = 115,813,618,596/228,121.50
  6. Step 6: Final answer
    x = 507,683.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.