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Finding the Third Proportional to 207,936 and 455,360

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Solution

The third proportional to 207,936 and 455,360 is: 997,194.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,936 : 455,360 = 455,360 : x
  2. Step 2: Convert to fraction form
    207,936/455,360 = 455,360/x
  3. Step 3: Cross multiply
    207,936x = 455,360 × 455,360
  4. Step 4: Simplify right side
    207,936x = 207,352,729,600
  5. Step 5: Solve for x
    x = 207,352,729,600/207,936
  6. Step 6: Final answer
    x = 997,194.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.