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Finding the Third Proportional to 721.83 and 1,556.93

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Solution

The third proportional to 721.83 and 1,556.93 is: 3,358.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.83 : 1,556.93 = 1,556.93 : x
  2. Step 2: Convert to fraction form
    721.83/1,556.93 = 1,556.93/x
  3. Step 3: Cross multiply
    721.83x = 1,556.93 × 1,556.93
  4. Step 4: Simplify right side
    721.83x = 2,424,030.05
  5. Step 5: Solve for x
    x = 2,424,030.05/721.83
  6. Step 6: Final answer
    x = 3,358.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.