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Finding the Third Proportional to 159.75 and 253.03

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Solution

The third proportional to 159.75 and 253.03 is: 400.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.75 : 253.03 = 253.03 : x
  2. Step 2: Convert to fraction form
    159.75/253.03 = 253.03/x
  3. Step 3: Cross multiply
    159.75x = 253.03 × 253.03
  4. Step 4: Simplify right side
    159.75x = 64,024.81
  5. Step 5: Solve for x
    x = 64,024.81/159.75
  6. Step 6: Final answer
    x = 400.78

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.