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Finding the Third Proportional to 302,378 and 660,016

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Solution

The third proportional to 302,378 and 660,016 is: 1,440,650.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,378 : 660,016 = 660,016 : x
  2. Step 2: Convert to fraction form
    302,378/660,016 = 660,016/x
  3. Step 3: Cross multiply
    302,378x = 660,016 × 660,016
  4. Step 4: Simplify right side
    302,378x = 435,621,120,256
  5. Step 5: Solve for x
    x = 435,621,120,256/302,378
  6. Step 6: Final answer
    x = 1,440,650.84

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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.