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Finding the Third Proportional to 88,862 and 192,910

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Solution

The third proportional to 88,862 and 192,910 is: 418,787.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,862 : 192,910 = 192,910 : x
  2. Step 2: Convert to fraction form
    88,862/192,910 = 192,910/x
  3. Step 3: Cross multiply
    88,862x = 192,910 × 192,910
  4. Step 4: Simplify right side
    88,862x = 37,214,268,100
  5. Step 5: Solve for x
    x = 37,214,268,100/88,862
  6. Step 6: Final answer
    x = 418,787.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.