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Finding the Third Proportional to 478.97 and 623.67

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Solution

The third proportional to 478.97 and 623.67 is: 812.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.97 : 623.67 = 623.67 : x
  2. Step 2: Convert to fraction form
    478.97/623.67 = 623.67/x
  3. Step 3: Cross multiply
    478.97x = 623.67 × 623.67
  4. Step 4: Simplify right side
    478.97x = 388,966.61
  5. Step 5: Solve for x
    x = 388,966.61/478.97
  6. Step 6: Final answer
    x = 812.09

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.