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Finding the Third Proportional to 149.34 and 277.03

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Solution

The third proportional to 149.34 and 277.03 is: 513.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.34 : 277.03 = 277.03 : x
  2. Step 2: Convert to fraction form
    149.34/277.03 = 277.03/x
  3. Step 3: Cross multiply
    149.34x = 277.03 × 277.03
  4. Step 4: Simplify right side
    149.34x = 76,746.31
  5. Step 5: Solve for x
    x = 76,746.31/149.34
  6. Step 6: Final answer
    x = 513.89

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.