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Finding the Third Proportional to 253.63 and 387.25

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Solution

The third proportional to 253.63 and 387.25 is: 591.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.63 : 387.25 = 387.25 : x
  2. Step 2: Convert to fraction form
    253.63/387.25 = 387.25/x
  3. Step 3: Cross multiply
    253.63x = 387.25 × 387.25
  4. Step 4: Simplify right side
    253.63x = 149,962.56
  5. Step 5: Solve for x
    x = 149,962.56/253.63
  6. Step 6: Final answer
    x = 591.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.