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Finding the Third Proportional to 215,948 and 338,727

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Solution

The third proportional to 215,948 and 338,727 is: 531,313.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,948 : 338,727 = 338,727 : x
  2. Step 2: Convert to fraction form
    215,948/338,727 = 338,727/x
  3. Step 3: Cross multiply
    215,948x = 338,727 × 338,727
  4. Step 4: Simplify right side
    215,948x = 114,735,980,529
  5. Step 5: Solve for x
    x = 114,735,980,529/215,948
  6. Step 6: Final answer
    x = 531,313.00

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.