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Finding the Third Proportional to 437.56 and 623.19

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Solution

The third proportional to 437.56 and 623.19 is: 887.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.56 : 623.19 = 623.19 : x
  2. Step 2: Convert to fraction form
    437.56/623.19 = 623.19/x
  3. Step 3: Cross multiply
    437.56x = 623.19 × 623.19
  4. Step 4: Simplify right side
    437.56x = 388,362.66
  5. Step 5: Solve for x
    x = 388,362.66/437.56
  6. Step 6: Final answer
    x = 887.56

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.