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Finding the Third Proportional to 415.28 and 904.61

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Solution

The third proportional to 415.28 and 904.61 is: 1,970.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.28 : 904.61 = 904.61 : x
  2. Step 2: Convert to fraction form
    415.28/904.61 = 904.61/x
  3. Step 3: Cross multiply
    415.28x = 904.61 × 904.61
  4. Step 4: Simplify right side
    415.28x = 818,311.05
  5. Step 5: Solve for x
    x = 818,311.05/415.28
  6. Step 6: Final answer
    x = 1,970.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.