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Finding the Third Proportional to 390.84 and 570.24

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Solution

The third proportional to 390.84 and 570.24 is: 831.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.84 : 570.24 = 570.24 : x
  2. Step 2: Convert to fraction form
    390.84/570.24 = 570.24/x
  3. Step 3: Cross multiply
    390.84x = 570.24 × 570.24
  4. Step 4: Simplify right side
    390.84x = 325,177.27
  5. Step 5: Solve for x
    x = 325,177.27/390.84
  6. Step 6: Final answer
    x = 831.99

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.