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Finding the Third Proportional to 390.13 and 570.96

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Solution

The third proportional to 390.13 and 570.96 is: 835.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.13 : 570.96 = 570.96 : x
  2. Step 2: Convert to fraction form
    390.13/570.96 = 570.96/x
  3. Step 3: Cross multiply
    390.13x = 570.96 × 570.96
  4. Step 4: Simplify right side
    390.13x = 325,989.70
  5. Step 5: Solve for x
    x = 325,989.70/390.13
  6. Step 6: Final answer
    x = 835.59

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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.