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Finding the Third Proportional to 47,800 and 70,009

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Solution

The third proportional to 47,800 and 70,009 is: 102,536.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,800 : 70,009 = 70,009 : x
  2. Step 2: Convert to fraction form
    47,800/70,009 = 70,009/x
  3. Step 3: Cross multiply
    47,800x = 70,009 × 70,009
  4. Step 4: Simplify right side
    47,800x = 4,901,260,081
  5. Step 5: Solve for x
    x = 4,901,260,081/47,800
  6. Step 6: Final answer
    x = 102,536.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.