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Finding the Third Proportional to 150.47 and 359.30

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Solution

The third proportional to 150.47 and 359.30 is: 857.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.47 : 359.30 = 359.30 : x
  2. Step 2: Convert to fraction form
    150.47/359.30 = 359.30/x
  3. Step 3: Cross multiply
    150.47x = 359.30 × 359.30
  4. Step 4: Simplify right side
    150.47x = 129,094.24
  5. Step 5: Solve for x
    x = 129,094.24/150.47
  6. Step 6: Final answer
    x = 857.95

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.