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Finding the Third Proportional to 553.88 and 853.50

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Solution

The third proportional to 553.88 and 853.50 is: 1,315.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.88 : 853.50 = 853.50 : x
  2. Step 2: Convert to fraction form
    553.88/853.50 = 853.50/x
  3. Step 3: Cross multiply
    553.88x = 853.50 × 853.50
  4. Step 4: Simplify right side
    553.88x = 728,462.25
  5. Step 5: Solve for x
    x = 728,462.25/553.88
  6. Step 6: Final answer
    x = 1,315.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.