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Finding the Third Proportional to 216,051.47 and 311,229.84

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Solution

The third proportional to 216,051.47 and 311,229.84 is: 448,337.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,051.47 : 311,229.84 = 311,229.84 : x
  2. Step 2: Convert to fraction form
    216,051.47/311,229.84 = 311,229.84/x
  3. Step 3: Cross multiply
    216,051.47x = 311,229.84 × 311,229.84
  4. Step 4: Simplify right side
    216,051.47x = 96,864,015,640.65
  5. Step 5: Solve for x
    x = 96,864,015,640.65/216,051.47
  6. Step 6: Final answer
    x = 448,337.69

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.