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Finding the Third Proportional to 18,976 and 28,358

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Solution

The third proportional to 18,976 and 28,358 is: 42,378.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,976 : 28,358 = 28,358 : x
  2. Step 2: Convert to fraction form
    18,976/28,358 = 28,358/x
  3. Step 3: Cross multiply
    18,976x = 28,358 × 28,358
  4. Step 4: Simplify right side
    18,976x = 804,176,164
  5. Step 5: Solve for x
    x = 804,176,164/18,976
  6. Step 6: Final answer
    x = 42,378.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.