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Finding the Third Proportional to 434.74 and 906.40

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Solution

The third proportional to 434.74 and 906.40 is: 1,889.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.74 : 906.40 = 906.40 : x
  2. Step 2: Convert to fraction form
    434.74/906.40 = 906.40/x
  3. Step 3: Cross multiply
    434.74x = 906.40 × 906.40
  4. Step 4: Simplify right side
    434.74x = 821,558.13
  5. Step 5: Solve for x
    x = 821,558.13/434.74
  6. Step 6: Final answer
    x = 1,889.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.