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Finding the Third Proportional to 370.91 and 784.53

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Solution

The third proportional to 370.91 and 784.53 is: 1,659.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.91 : 784.53 = 784.53 : x
  2. Step 2: Convert to fraction form
    370.91/784.53 = 784.53/x
  3. Step 3: Cross multiply
    370.91x = 784.53 × 784.53
  4. Step 4: Simplify right side
    370.91x = 615,486.22
  5. Step 5: Solve for x
    x = 615,486.22/370.91
  6. Step 6: Final answer
    x = 1,659.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.