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Finding the Third Proportional to 187,321.50 and 409,653

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Solution

The third proportional to 187,321.50 and 409,653 is: 895,869.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,321.50 : 409,653 = 409,653 : x
  2. Step 2: Convert to fraction form
    187,321.50/409,653 = 409,653/x
  3. Step 3: Cross multiply
    187,321.50x = 409,653 × 409,653
  4. Step 4: Simplify right side
    187,321.50x = 167,815,580,409
  5. Step 5: Solve for x
    x = 167,815,580,409/187,321.50
  6. Step 6: Final answer
    x = 895,869.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.