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Finding the Third Proportional to 1,783.13 and 3,878.63

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Solution

The third proportional to 1,783.13 and 3,878.63 is: 8,436.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.13 : 3,878.63 = 3,878.63 : x
  2. Step 2: Convert to fraction form
    1,783.13/3,878.63 = 3,878.63/x
  3. Step 3: Cross multiply
    1,783.13x = 3,878.63 × 3,878.63
  4. Step 4: Simplify right side
    1,783.13x = 15,043,731.89
  5. Step 5: Solve for x
    x = 15,043,731.89/1,783.13
  6. Step 6: Final answer
    x = 8,436.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.