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Finding the Third Proportional to 577.76 and 831.20

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Solution

The third proportional to 577.76 and 831.20 is: 1,195.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.76 : 831.20 = 831.20 : x
  2. Step 2: Convert to fraction form
    577.76/831.20 = 831.20/x
  3. Step 3: Cross multiply
    577.76x = 831.20 × 831.20
  4. Step 4: Simplify right side
    577.76x = 690,892.14
  5. Step 5: Solve for x
    x = 690,892.14/577.76
  6. Step 6: Final answer
    x = 1,195.82

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.