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Finding the Third Proportional to 221,537 and 485,965

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Solution

The third proportional to 221,537 and 485,965 is: 1,066,015.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,537 : 485,965 = 485,965 : x
  2. Step 2: Convert to fraction form
    221,537/485,965 = 485,965/x
  3. Step 3: Cross multiply
    221,537x = 485,965 × 485,965
  4. Step 4: Simplify right side
    221,537x = 236,161,981,225
  5. Step 5: Solve for x
    x = 236,161,981,225/221,537
  6. Step 6: Final answer
    x = 1,066,015.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.