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Finding the Third Proportional to 521.81 and 623.06

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Solution

The third proportional to 521.81 and 623.06 is: 743.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.81 : 623.06 = 623.06 : x
  2. Step 2: Convert to fraction form
    521.81/623.06 = 623.06/x
  3. Step 3: Cross multiply
    521.81x = 623.06 × 623.06
  4. Step 4: Simplify right side
    521.81x = 388,206.88
  5. Step 5: Solve for x
    x = 388,206.88/521.81
  6. Step 6: Final answer
    x = 743.96

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.