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Finding the Third Proportional to 216,215 and 471,797

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Solution

The third proportional to 216,215 and 471,797 is: 1,029,495.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,215 : 471,797 = 471,797 : x
  2. Step 2: Convert to fraction form
    216,215/471,797 = 471,797/x
  3. Step 3: Cross multiply
    216,215x = 471,797 × 471,797
  4. Step 4: Simplify right side
    216,215x = 222,592,409,209
  5. Step 5: Solve for x
    x = 222,592,409,209/216,215
  6. Step 6: Final answer
    x = 1,029,495.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.