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Finding the Third Proportional to 380.25 and 848.25

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Solution

The third proportional to 380.25 and 848.25 is: 1,892.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.25 : 848.25 = 848.25 : x
  2. Step 2: Convert to fraction form
    380.25/848.25 = 848.25/x
  3. Step 3: Cross multiply
    380.25x = 848.25 × 848.25
  4. Step 4: Simplify right side
    380.25x = 719,528.06
  5. Step 5: Solve for x
    x = 719,528.06/380.25
  6. Step 6: Final answer
    x = 1,892.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.