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Finding the Third Proportional to 294,900 and 628,410

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Solution

The third proportional to 294,900 and 628,410 is: 1,339,095.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,900 : 628,410 = 628,410 : x
  2. Step 2: Convert to fraction form
    294,900/628,410 = 628,410/x
  3. Step 3: Cross multiply
    294,900x = 628,410 × 628,410
  4. Step 4: Simplify right side
    294,900x = 394,899,128,100
  5. Step 5: Solve for x
    x = 394,899,128,100/294,900
  6. Step 6: Final answer
    x = 1,339,095.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.