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Finding the Third Proportional to 451.55 and 693.11

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Solution

The third proportional to 451.55 and 693.11 is: 1,063.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.55 : 693.11 = 693.11 : x
  2. Step 2: Convert to fraction form
    451.55/693.11 = 693.11/x
  3. Step 3: Cross multiply
    451.55x = 693.11 × 693.11
  4. Step 4: Simplify right side
    451.55x = 480,395.19
  5. Step 5: Solve for x
    x = 480,395.19/451.55
  6. Step 6: Final answer
    x = 1,063.89

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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.