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Finding the Third Proportional to 585.74 and 906.61

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Solution

The third proportional to 585.74 and 906.61 is: 1,403.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.74 : 906.61 = 906.61 : x
  2. Step 2: Convert to fraction form
    585.74/906.61 = 906.61/x
  3. Step 3: Cross multiply
    585.74x = 906.61 × 906.61
  4. Step 4: Simplify right side
    585.74x = 821,940.56
  5. Step 5: Solve for x
    x = 821,940.56/585.74
  6. Step 6: Final answer
    x = 1,403.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.