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Finding the Third Proportional to 643,228 and 945,568

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Solution

The third proportional to 643,228 and 945,568 is: 1,390,018.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,228 : 945,568 = 945,568 : x
  2. Step 2: Convert to fraction form
    643,228/945,568 = 945,568/x
  3. Step 3: Cross multiply
    643,228x = 945,568 × 945,568
  4. Step 4: Simplify right side
    643,228x = 894,098,842,624
  5. Step 5: Solve for x
    x = 894,098,842,624/643,228
  6. Step 6: Final answer
    x = 1,390,018.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.