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Finding the Third Proportional to 390.38 and 570.94

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Solution

The third proportional to 390.38 and 570.94 is: 835.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.38 : 570.94 = 570.94 : x
  2. Step 2: Convert to fraction form
    390.38/570.94 = 570.94/x
  3. Step 3: Cross multiply
    390.38x = 570.94 × 570.94
  4. Step 4: Simplify right side
    390.38x = 325,969.63
  5. Step 5: Solve for x
    x = 325,969.63/390.38
  6. Step 6: Final answer
    x = 835.02

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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.