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Finding the Third Proportional to 291.52 and 623.39

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Solution

The third proportional to 291.52 and 623.39 is: 1,333.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.52 : 623.39 = 623.39 : x
  2. Step 2: Convert to fraction form
    291.52/623.39 = 623.39/x
  3. Step 3: Cross multiply
    291.52x = 623.39 × 623.39
  4. Step 4: Simplify right side
    291.52x = 388,615.87
  5. Step 5: Solve for x
    x = 388,615.87/291.52
  6. Step 6: Final answer
    x = 1,333.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.