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Finding the Third Proportional to 162.31 and 253.63

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Solution

The third proportional to 162.31 and 253.63 is: 396.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.31 : 253.63 = 253.63 : x
  2. Step 2: Convert to fraction form
    162.31/253.63 = 253.63/x
  3. Step 3: Cross multiply
    162.31x = 253.63 × 253.63
  4. Step 4: Simplify right side
    162.31x = 64,325.64
  5. Step 5: Solve for x
    x = 64,325.64/162.31
  6. Step 6: Final answer
    x = 396.31

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.