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Finding the Third Proportional to 228,916 and 478,743

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Solution

The third proportional to 228,916 and 478,743 is: 1,001,218.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,916 : 478,743 = 478,743 : x
  2. Step 2: Convert to fraction form
    228,916/478,743 = 478,743/x
  3. Step 3: Cross multiply
    228,916x = 478,743 × 478,743
  4. Step 4: Simplify right side
    228,916x = 229,194,860,049
  5. Step 5: Solve for x
    x = 229,194,860,049/228,916
  6. Step 6: Final answer
    x = 1,001,218.18

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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.