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Finding the Third Proportional to 228,918 and 478,747

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Solution

The third proportional to 228,918 and 478,747 is: 1,001,226.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,918 : 478,747 = 478,747 : x
  2. Step 2: Convert to fraction form
    228,918/478,747 = 478,747/x
  3. Step 3: Cross multiply
    228,918x = 478,747 × 478,747
  4. Step 4: Simplify right side
    228,918x = 229,198,690,009
  5. Step 5: Solve for x
    x = 229,198,690,009/228,918
  6. Step 6: Final answer
    x = 1,001,226.16

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.