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Finding the Third Proportional to 370.99 and 784.56

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Solution

The third proportional to 370.99 and 784.56 is: 1,659.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.99 : 784.56 = 784.56 : x
  2. Step 2: Convert to fraction form
    370.99/784.56 = 784.56/x
  3. Step 3: Cross multiply
    370.99x = 784.56 × 784.56
  4. Step 4: Simplify right side
    370.99x = 615,534.22
  5. Step 5: Solve for x
    x = 615,534.22/370.99
  6. Step 6: Final answer
    x = 1,659.15

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.