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Finding the Third Proportional to 187,221.75 and 403,965.75

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Solution

The third proportional to 187,221.75 and 403,965.75 is: 871,631.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,221.75 : 403,965.75 = 403,965.75 : x
  2. Step 2: Convert to fraction form
    187,221.75/403,965.75 = 403,965.75/x
  3. Step 3: Cross multiply
    187,221.75x = 403,965.75 × 403,965.75
  4. Step 4: Simplify right side
    187,221.75x = 163,188,327,173.06
  5. Step 5: Solve for x
    x = 163,188,327,173.06/187,221.75
  6. Step 6: Final answer
    x = 871,631.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.