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Finding the Third Proportional to 187,133 and 409,257

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Solution

The third proportional to 187,133 and 409,257 is: 895,038.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,133 : 409,257 = 409,257 : x
  2. Step 2: Convert to fraction form
    187,133/409,257 = 409,257/x
  3. Step 3: Cross multiply
    187,133x = 409,257 × 409,257
  4. Step 4: Simplify right side
    187,133x = 167,491,292,049
  5. Step 5: Solve for x
    x = 167,491,292,049/187,133
  6. Step 6: Final answer
    x = 895,038.78

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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.