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Finding the Third Proportional to 779.06 and 1,712.53

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Solution

The third proportional to 779.06 and 1,712.53 is: 3,764.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.06 : 1,712.53 = 1,712.53 : x
  2. Step 2: Convert to fraction form
    779.06/1,712.53 = 1,712.53/x
  3. Step 3: Cross multiply
    779.06x = 1,712.53 × 1,712.53
  4. Step 4: Simplify right side
    779.06x = 2,932,763.28
  5. Step 5: Solve for x
    x = 2,932,763.28/779.06
  6. Step 6: Final answer
    x = 3,764.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.