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Finding the Third Proportional to 300,612 and 656,628

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Solution

The third proportional to 300,612 and 656,628 is: 1,434,275.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,612 : 656,628 = 656,628 : x
  2. Step 2: Convert to fraction form
    300,612/656,628 = 656,628/x
  3. Step 3: Cross multiply
    300,612x = 656,628 × 656,628
  4. Step 4: Simplify right side
    300,612x = 431,160,330,384
  5. Step 5: Solve for x
    x = 431,160,330,384/300,612
  6. Step 6: Final answer
    x = 1,434,275.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.