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Finding the Third Proportional to 253,163 and 381,689

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Solution

The third proportional to 253,163 and 381,689 is: 575,465.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,163 : 381,689 = 381,689 : x
  2. Step 2: Convert to fraction form
    253,163/381,689 = 381,689/x
  3. Step 3: Cross multiply
    253,163x = 381,689 × 381,689
  4. Step 4: Simplify right side
    253,163x = 145,686,492,721
  5. Step 5: Solve for x
    x = 145,686,492,721/253,163
  6. Step 6: Final answer
    x = 575,465.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.