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Finding the Third Proportional to 511.13 and 839.06

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Solution

The third proportional to 511.13 and 839.06 is: 1,377.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.13 : 839.06 = 839.06 : x
  2. Step 2: Convert to fraction form
    511.13/839.06 = 839.06/x
  3. Step 3: Cross multiply
    511.13x = 839.06 × 839.06
  4. Step 4: Simplify right side
    511.13x = 704,025.88
  5. Step 5: Solve for x
    x = 704,025.88/511.13
  6. Step 6: Final answer
    x = 1,377.40

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.