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Finding the Third Proportional to 830.80 and 1,806.84

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Solution

The third proportional to 830.80 and 1,806.84 is: 3,929.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.80 : 1,806.84 = 1,806.84 : x
  2. Step 2: Convert to fraction form
    830.80/1,806.84 = 1,806.84/x
  3. Step 3: Cross multiply
    830.80x = 1,806.84 × 1,806.84
  4. Step 4: Simplify right side
    830.80x = 3,264,663.16
  5. Step 5: Solve for x
    x = 3,264,663.16/830.80
  6. Step 6: Final answer
    x = 3,929.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.