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Finding the Third Proportional to 1,713.93 and 3,043.43

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Solution

The third proportional to 1,713.93 and 3,043.43 is: 5,404.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.93 : 3,043.43 = 3,043.43 : x
  2. Step 2: Convert to fraction form
    1,713.93/3,043.43 = 3,043.43/x
  3. Step 3: Cross multiply
    1,713.93x = 3,043.43 × 3,043.43
  4. Step 4: Simplify right side
    1,713.93x = 9,262,482.10
  5. Step 5: Solve for x
    x = 9,262,482.10/1,713.93
  6. Step 6: Final answer
    x = 5,404.23

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.