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Finding the Third Proportional to 291,936 and 439,200

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Solution

The third proportional to 291,936 and 439,200 is: 660,749.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,936 : 439,200 = 439,200 : x
  2. Step 2: Convert to fraction form
    291,936/439,200 = 439,200/x
  3. Step 3: Cross multiply
    291,936x = 439,200 × 439,200
  4. Step 4: Simplify right side
    291,936x = 192,896,640,000
  5. Step 5: Solve for x
    x = 192,896,640,000/291,936
  6. Step 6: Final answer
    x = 660,749.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.