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Finding the Third Proportional to 415.13 and 885.80

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Solution

The third proportional to 415.13 and 885.80 is: 1,890.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.13 : 885.80 = 885.80 : x
  2. Step 2: Convert to fraction form
    415.13/885.80 = 885.80/x
  3. Step 3: Cross multiply
    415.13x = 885.80 × 885.80
  4. Step 4: Simplify right side
    415.13x = 784,636.10
  5. Step 5: Solve for x
    x = 784,636.10/415.13
  6. Step 6: Final answer
    x = 1,890.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.