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Finding the Third Proportional to 577.16 and 784.73

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Solution

The third proportional to 577.16 and 784.73 is: 1,066.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.16 : 784.73 = 784.73 : x
  2. Step 2: Convert to fraction form
    577.16/784.73 = 784.73/x
  3. Step 3: Cross multiply
    577.16x = 784.73 × 784.73
  4. Step 4: Simplify right side
    577.16x = 615,808.04
  5. Step 5: Solve for x
    x = 615,808.04/577.16
  6. Step 6: Final answer
    x = 1,066.97

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.