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Finding the Third Proportional to 215,417 and 452,878

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Solution

The third proportional to 215,417 and 452,878 is: 952,099.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,417 : 452,878 = 452,878 : x
  2. Step 2: Convert to fraction form
    215,417/452,878 = 452,878/x
  3. Step 3: Cross multiply
    215,417x = 452,878 × 452,878
  4. Step 4: Simplify right side
    215,417x = 205,098,482,884
  5. Step 5: Solve for x
    x = 205,098,482,884/215,417
  6. Step 6: Final answer
    x = 952,099.80

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.