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Finding the Third Proportional to 389.66 and 578.91

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Solution

The third proportional to 389.66 and 578.91 is: 860.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.66 : 578.91 = 578.91 : x
  2. Step 2: Convert to fraction form
    389.66/578.91 = 578.91/x
  3. Step 3: Cross multiply
    389.66x = 578.91 × 578.91
  4. Step 4: Simplify right side
    389.66x = 335,132.45
  5. Step 5: Solve for x
    x = 335,132.45/389.66
  6. Step 6: Final answer
    x = 860.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.