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Finding the Third Proportional to 201,212 and 426,409

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Solution

The third proportional to 201,212 and 426,409 is: 903,647.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,212 : 426,409 = 426,409 : x
  2. Step 2: Convert to fraction form
    201,212/426,409 = 426,409/x
  3. Step 3: Cross multiply
    201,212x = 426,409 × 426,409
  4. Step 4: Simplify right side
    201,212x = 181,824,635,281
  5. Step 5: Solve for x
    x = 181,824,635,281/201,212
  6. Step 6: Final answer
    x = 903,647.08

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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.