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Finding the Third Proportional to 75,282 and 163,689

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Solution

The third proportional to 75,282 and 163,689 is: 355,916.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,282 : 163,689 = 163,689 : x
  2. Step 2: Convert to fraction form
    75,282/163,689 = 163,689/x
  3. Step 3: Cross multiply
    75,282x = 163,689 × 163,689
  4. Step 4: Simplify right side
    75,282x = 26,794,088,721
  5. Step 5: Solve for x
    x = 26,794,088,721/75,282
  6. Step 6: Final answer
    x = 355,916.27

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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.