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Finding the Third Proportional to 853.41 and 1,302.84

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Solution

The third proportional to 853.41 and 1,302.84 is: 1,988.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.41 : 1,302.84 = 1,302.84 : x
  2. Step 2: Convert to fraction form
    853.41/1,302.84 = 1,302.84/x
  3. Step 3: Cross multiply
    853.41x = 1,302.84 × 1,302.84
  4. Step 4: Simplify right side
    853.41x = 1,697,401.84
  5. Step 5: Solve for x
    x = 1,697,401.84/853.41
  6. Step 6: Final answer
    x = 1,988.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.