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Finding the Third Proportional to 149.78 and 325.93

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Solution

The third proportional to 149.78 and 325.93 is: 709.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.78 : 325.93 = 325.93 : x
  2. Step 2: Convert to fraction form
    149.78/325.93 = 325.93/x
  3. Step 3: Cross multiply
    149.78x = 325.93 × 325.93
  4. Step 4: Simplify right side
    149.78x = 106,232.71
  5. Step 5: Solve for x
    x = 106,232.71/149.78
  6. Step 6: Final answer
    x = 709.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.