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Finding the Third Proportional to 1,808.26 and 2,798.30

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Solution

The third proportional to 1,808.26 and 2,798.30 is: 4,330.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808.26 : 2,798.30 = 2,798.30 : x
  2. Step 2: Convert to fraction form
    1,808.26/2,798.30 = 2,798.30/x
  3. Step 3: Cross multiply
    1,808.26x = 2,798.30 × 2,798.30
  4. Step 4: Simplify right side
    1,808.26x = 7,830,465.40
  5. Step 5: Solve for x
    x = 7,830,465.40/1,808.26
  6. Step 6: Final answer
    x = 4,330.38

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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.