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Finding the Third Proportional to 145,378 and 206,163

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Solution

The third proportional to 145,378 and 206,163 is: 292,363.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,378 : 206,163 = 206,163 : x
  2. Step 2: Convert to fraction form
    145,378/206,163 = 206,163/x
  3. Step 3: Cross multiply
    145,378x = 206,163 × 206,163
  4. Step 4: Simplify right side
    145,378x = 42,503,182,569
  5. Step 5: Solve for x
    x = 42,503,182,569/145,378
  6. Step 6: Final answer
    x = 292,363.24

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.