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Finding the Third Proportional to 201,266 and 426,508

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Solution

The third proportional to 201,266 and 426,508 is: 903,824.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,266 : 426,508 = 426,508 : x
  2. Step 2: Convert to fraction form
    201,266/426,508 = 426,508/x
  3. Step 3: Cross multiply
    201,266x = 426,508 × 426,508
  4. Step 4: Simplify right side
    201,266x = 181,909,074,064
  5. Step 5: Solve for x
    x = 181,909,074,064/201,266
  6. Step 6: Final answer
    x = 903,824.16

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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.