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Finding the Third Proportional to 201,218 and 426,420

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Solution

The third proportional to 201,218 and 426,420 is: 903,666.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,218 : 426,420 = 426,420 : x
  2. Step 2: Convert to fraction form
    201,218/426,420 = 426,420/x
  3. Step 3: Cross multiply
    201,218x = 426,420 × 426,420
  4. Step 4: Simplify right side
    201,218x = 181,834,016,400
  5. Step 5: Solve for x
    x = 181,834,016,400/201,218
  6. Step 6: Final answer
    x = 903,666.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.