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Finding the Third Proportional to 201,218 and 418,972

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Solution

The third proportional to 201,218 and 418,972 is: 872,374.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,218 : 418,972 = 418,972 : x
  2. Step 2: Convert to fraction form
    201,218/418,972 = 418,972/x
  3. Step 3: Cross multiply
    201,218x = 418,972 × 418,972
  4. Step 4: Simplify right side
    201,218x = 175,537,536,784
  5. Step 5: Solve for x
    x = 175,537,536,784/201,218
  6. Step 6: Final answer
    x = 872,374.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.