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Finding the Third Proportional to 302,422 and 660,188

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Solution

The third proportional to 302,422 and 660,188 is: 1,441,192.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,422 : 660,188 = 660,188 : x
  2. Step 2: Convert to fraction form
    302,422/660,188 = 660,188/x
  3. Step 3: Cross multiply
    302,422x = 660,188 × 660,188
  4. Step 4: Simplify right side
    302,422x = 435,848,195,344
  5. Step 5: Solve for x
    x = 435,848,195,344/302,422
  6. Step 6: Final answer
    x = 1,441,192.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.