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Finding the Third Proportional to 178.77 and 260.01

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Solution

The third proportional to 178.77 and 260.01 is: 378.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.77 : 260.01 = 260.01 : x
  2. Step 2: Convert to fraction form
    178.77/260.01 = 260.01/x
  3. Step 3: Cross multiply
    178.77x = 260.01 × 260.01
  4. Step 4: Simplify right side
    178.77x = 67,603.55
  5. Step 5: Solve for x
    x = 67,603.55/178.77
  6. Step 6: Final answer
    x = 378.16

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.