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Finding the Third Proportional to 217,974 and 486,978

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Solution

The third proportional to 217,974 and 486,978 is: 1,087,962.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,974 : 486,978 = 486,978 : x
  2. Step 2: Convert to fraction form
    217,974/486,978 = 486,978/x
  3. Step 3: Cross multiply
    217,974x = 486,978 × 486,978
  4. Step 4: Simplify right side
    217,974x = 237,147,572,484
  5. Step 5: Solve for x
    x = 237,147,572,484/217,974
  6. Step 6: Final answer
    x = 1,087,962.66

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.