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Finding the Third Proportional to 380.13 and 790.25

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Solution

The third proportional to 380.13 and 790.25 is: 1,642.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.13 : 790.25 = 790.25 : x
  2. Step 2: Convert to fraction form
    380.13/790.25 = 790.25/x
  3. Step 3: Cross multiply
    380.13x = 790.25 × 790.25
  4. Step 4: Simplify right side
    380.13x = 624,495.06
  5. Step 5: Solve for x
    x = 624,495.06/380.13
  6. Step 6: Final answer
    x = 1,642.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.