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Finding the Third Proportional to 3,557.81 and 7,783.03

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Solution

The third proportional to 3,557.81 and 7,783.03 is: 17,026.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,557.81 : 7,783.03 = 7,783.03 : x
  2. Step 2: Convert to fraction form
    3,557.81/7,783.03 = 7,783.03/x
  3. Step 3: Cross multiply
    3,557.81x = 7,783.03 × 7,783.03
  4. Step 4: Simplify right side
    3,557.81x = 60,575,575.44
  5. Step 5: Solve for x
    x = 60,575,575.44/3,557.81
  6. Step 6: Final answer
    x = 17,026.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.