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Finding the Third Proportional to 187,105 and 411,572

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Solution

The third proportional to 187,105 and 411,572 is: 905,328.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,105 : 411,572 = 411,572 : x
  2. Step 2: Convert to fraction form
    187,105/411,572 = 411,572/x
  3. Step 3: Cross multiply
    187,105x = 411,572 × 411,572
  4. Step 4: Simplify right side
    187,105x = 169,391,511,184
  5. Step 5: Solve for x
    x = 169,391,511,184/187,105
  6. Step 6: Final answer
    x = 905,328.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.