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Finding the Third Proportional to 187,651.50 and 290,997

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Solution

The third proportional to 187,651.50 and 290,997 is: 451,258.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,651.50 : 290,997 = 290,997 : x
  2. Step 2: Convert to fraction form
    187,651.50/290,997 = 290,997/x
  3. Step 3: Cross multiply
    187,651.50x = 290,997 × 290,997
  4. Step 4: Simplify right side
    187,651.50x = 84,679,254,009
  5. Step 5: Solve for x
    x = 84,679,254,009/187,651.50
  6. Step 6: Final answer
    x = 451,258.07

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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.