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Finding the Third Proportional to 415.83 and 910.55

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Solution

The third proportional to 415.83 and 910.55 is: 1,993.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.83 : 910.55 = 910.55 : x
  2. Step 2: Convert to fraction form
    415.83/910.55 = 910.55/x
  3. Step 3: Cross multiply
    415.83x = 910.55 × 910.55
  4. Step 4: Simplify right side
    415.83x = 829,095.61
  5. Step 5: Solve for x
    x = 829,095.61/415.83
  6. Step 6: Final answer
    x = 1,993.84

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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.