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Finding the Third Proportional to 187,147.49 and 405,825.19

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Solution

The third proportional to 187,147.49 and 405,825.19 is: 880,022.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,147.49 : 405,825.19 = 405,825.19 : x
  2. Step 2: Convert to fraction form
    187,147.49/405,825.19 = 405,825.19/x
  3. Step 3: Cross multiply
    187,147.49x = 405,825.19 × 405,825.19
  4. Step 4: Simplify right side
    187,147.49x = 164,694,082,809.41
  5. Step 5: Solve for x
    x = 164,694,082,809.41/187,147.49
  6. Step 6: Final answer
    x = 880,022.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.