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Finding the Third Proportional to 294,521 and 628,387

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Solution

The third proportional to 294,521 and 628,387 is: 1,340,720.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,521 : 628,387 = 628,387 : x
  2. Step 2: Convert to fraction form
    294,521/628,387 = 628,387/x
  3. Step 3: Cross multiply
    294,521x = 628,387 × 628,387
  4. Step 4: Simplify right side
    294,521x = 394,870,221,769
  5. Step 5: Solve for x
    x = 394,870,221,769/294,521
  6. Step 6: Final answer
    x = 1,340,720.09

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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.