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Finding the Third Proportional to 284,354 and 622,276

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Solution

The third proportional to 284,354 and 622,276 is: 1,361,779.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,354 : 622,276 = 622,276 : x
  2. Step 2: Convert to fraction form
    284,354/622,276 = 622,276/x
  3. Step 3: Cross multiply
    284,354x = 622,276 × 622,276
  4. Step 4: Simplify right side
    284,354x = 387,227,420,176
  5. Step 5: Solve for x
    x = 387,227,420,176/284,354
  6. Step 6: Final answer
    x = 1,361,779.40

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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.