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Finding the Third Proportional to 292.55 and 440.67

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Solution

The third proportional to 292.55 and 440.67 is: 663.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.55 : 440.67 = 440.67 : x
  2. Step 2: Convert to fraction form
    292.55/440.67 = 440.67/x
  3. Step 3: Cross multiply
    292.55x = 440.67 × 440.67
  4. Step 4: Simplify right side
    292.55x = 194,191.70
  5. Step 5: Solve for x
    x = 194,191.70/292.55
  6. Step 6: Final answer
    x = 663.80

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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.