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Finding the Third Proportional to 228,215 and 486,961

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Solution

The third proportional to 228,215 and 486,961 is: 1,039,068.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,215 : 486,961 = 486,961 : x
  2. Step 2: Convert to fraction form
    228,215/486,961 = 486,961/x
  3. Step 3: Cross multiply
    228,215x = 486,961 × 486,961
  4. Step 4: Simplify right side
    228,215x = 237,131,015,521
  5. Step 5: Solve for x
    x = 237,131,015,521/228,215
  6. Step 6: Final answer
    x = 1,039,068.49

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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.