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Finding the Third Proportional to 415.63 and 911.13

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Solution

The third proportional to 415.63 and 911.13 is: 1,997.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.63 : 911.13 = 911.13 : x
  2. Step 2: Convert to fraction form
    415.63/911.13 = 911.13/x
  3. Step 3: Cross multiply
    415.63x = 911.13 × 911.13
  4. Step 4: Simplify right side
    415.63x = 830,148.77
  5. Step 5: Solve for x
    x = 830,148.77/415.63
  6. Step 6: Final answer
    x = 1,997.35

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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.