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Finding the Third Proportional to 320.50 and 784.75

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Solution

The third proportional to 320.50 and 784.75 is: 1,921.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.50 : 784.75 = 784.75 : x
  2. Step 2: Convert to fraction form
    320.50/784.75 = 784.75/x
  3. Step 3: Cross multiply
    320.50x = 784.75 × 784.75
  4. Step 4: Simplify right side
    320.50x = 615,832.56
  5. Step 5: Solve for x
    x = 615,832.56/320.50
  6. Step 6: Final answer
    x = 1,921.47

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.