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Finding the Third Proportional to 581.55 and 860.94

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Solution

The third proportional to 581.55 and 860.94 is: 1,274.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.55 : 860.94 = 860.94 : x
  2. Step 2: Convert to fraction form
    581.55/860.94 = 860.94/x
  3. Step 3: Cross multiply
    581.55x = 860.94 × 860.94
  4. Step 4: Simplify right side
    581.55x = 741,220.10
  5. Step 5: Solve for x
    x = 741,220.10/581.55
  6. Step 6: Final answer
    x = 1,274.55

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.