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Finding the Third Proportional to 5,254.88 and 10,783.13

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Solution

The third proportional to 5,254.88 and 10,783.13 is: 22,127.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254.88 : 10,783.13 = 10,783.13 : x
  2. Step 2: Convert to fraction form
    5,254.88/10,783.13 = 10,783.13/x
  3. Step 3: Cross multiply
    5,254.88x = 10,783.13 × 10,783.13
  4. Step 4: Simplify right side
    5,254.88x = 116,275,784.77
  5. Step 5: Solve for x
    x = 116,275,784.77/5,254.88
  6. Step 6: Final answer
    x = 22,127.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.