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Finding the Third Proportional to 284,360 and 622,288

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Solution

The third proportional to 284,360 and 622,288 is: 1,361,803.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,360 : 622,288 = 622,288 : x
  2. Step 2: Convert to fraction form
    284,360/622,288 = 622,288/x
  3. Step 3: Cross multiply
    284,360x = 622,288 × 622,288
  4. Step 4: Simplify right side
    284,360x = 387,242,354,944
  5. Step 5: Solve for x
    x = 387,242,354,944/284,360
  6. Step 6: Final answer
    x = 1,361,803.19

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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.