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Finding the Third Proportional to 825.19 and 1,278.28

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Solution

The third proportional to 825.19 and 1,278.28 is: 1,980.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.19 : 1,278.28 = 1,278.28 : x
  2. Step 2: Convert to fraction form
    825.19/1,278.28 = 1,278.28/x
  3. Step 3: Cross multiply
    825.19x = 1,278.28 × 1,278.28
  4. Step 4: Simplify right side
    825.19x = 1,634,002.95
  5. Step 5: Solve for x
    x = 1,634,002.95/825.19
  6. Step 6: Final answer
    x = 1,980.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.