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Finding the Third Proportional to 207,418 and 452,378

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Solution

The third proportional to 207,418 and 452,378 is: 986,634.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,418 : 452,378 = 452,378 : x
  2. Step 2: Convert to fraction form
    207,418/452,378 = 452,378/x
  3. Step 3: Cross multiply
    207,418x = 452,378 × 452,378
  4. Step 4: Simplify right side
    207,418x = 204,645,854,884
  5. Step 5: Solve for x
    x = 204,645,854,884/207,418
  6. Step 6: Final answer
    x = 986,634.98

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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.