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Finding the Third Proportional to 419.27 and 902.74

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Solution

The third proportional to 419.27 and 902.74 is: 1,943.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.27 : 902.74 = 902.74 : x
  2. Step 2: Convert to fraction form
    419.27/902.74 = 902.74/x
  3. Step 3: Cross multiply
    419.27x = 902.74 × 902.74
  4. Step 4: Simplify right side
    419.27x = 814,943.46
  5. Step 5: Solve for x
    x = 814,943.46/419.27
  6. Step 6: Final answer
    x = 1,943.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.