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Finding the Third Proportional to 284,150.53 and 621,814.22

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Solution

The third proportional to 284,150.53 and 621,814.22 is: 1,360,732.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,150.53 : 621,814.22 = 621,814.22 : x
  2. Step 2: Convert to fraction form
    284,150.53/621,814.22 = 621,814.22/x
  3. Step 3: Cross multiply
    284,150.53x = 621,814.22 × 621,814.22
  4. Step 4: Simplify right side
    284,150.53x = 386,652,922,639.67
  5. Step 5: Solve for x
    x = 386,652,922,639.67/284,150.53
  6. Step 6: Final answer
    x = 1,360,732.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.