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Finding the Third Proportional to 585.09 and 881.34

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Solution

The third proportional to 585.09 and 881.34 is: 1,327.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.09 : 881.34 = 881.34 : x
  2. Step 2: Convert to fraction form
    585.09/881.34 = 881.34/x
  3. Step 3: Cross multiply
    585.09x = 881.34 × 881.34
  4. Step 4: Simplify right side
    585.09x = 776,766.81
  5. Step 5: Solve for x
    x = 776,766.81/585.09
  6. Step 6: Final answer
    x = 1,327.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.