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Finding the Third Proportional to 47,509 and 100,358

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Solution

The third proportional to 47,509 and 100,358 is: 211,996.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,509 : 100,358 = 100,358 : x
  2. Step 2: Convert to fraction form
    47,509/100,358 = 100,358/x
  3. Step 3: Cross multiply
    47,509x = 100,358 × 100,358
  4. Step 4: Simplify right side
    47,509x = 10,071,728,164
  5. Step 5: Solve for x
    x = 10,071,728,164/47,509
  6. Step 6: Final answer
    x = 211,996.21

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.