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Finding the Third Proportional to 156.50 and 379.75

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Solution

The third proportional to 156.50 and 379.75 is: 921.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.50 : 379.75 = 379.75 : x
  2. Step 2: Convert to fraction form
    156.50/379.75 = 379.75/x
  3. Step 3: Cross multiply
    156.50x = 379.75 × 379.75
  4. Step 4: Simplify right side
    156.50x = 144,210.06
  5. Step 5: Solve for x
    x = 144,210.06/156.50
  6. Step 6: Final answer
    x = 921.47

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.