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Finding the Third Proportional to 1,335.23 and 3,119.77

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Solution

The third proportional to 1,335.23 and 3,119.77 is: 7,289.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.23 : 3,119.77 = 3,119.77 : x
  2. Step 2: Convert to fraction form
    1,335.23/3,119.77 = 3,119.77/x
  3. Step 3: Cross multiply
    1,335.23x = 3,119.77 × 3,119.77
  4. Step 4: Simplify right side
    1,335.23x = 9,732,937.55
  5. Step 5: Solve for x
    x = 9,732,937.55/1,335.23
  6. Step 6: Final answer
    x = 7,289.31

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.