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Finding the Third Proportional to 188,469 and 291,807

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Solution

The third proportional to 188,469 and 291,807 is: 451,805.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,469 : 291,807 = 291,807 : x
  2. Step 2: Convert to fraction form
    188,469/291,807 = 291,807/x
  3. Step 3: Cross multiply
    188,469x = 291,807 × 291,807
  4. Step 4: Simplify right side
    188,469x = 85,151,325,249
  5. Step 5: Solve for x
    x = 85,151,325,249/188,469
  6. Step 6: Final answer
    x = 451,805.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.