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Finding the Third Proportional to 10,783.13 and 16,561.97

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Solution

The third proportional to 10,783.13 and 16,561.97 is: 25,437.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.13 : 16,561.97 = 16,561.97 : x
  2. Step 2: Convert to fraction form
    10,783.13/16,561.97 = 16,561.97/x
  3. Step 3: Cross multiply
    10,783.13x = 16,561.97 × 16,561.97
  4. Step 4: Simplify right side
    10,783.13x = 274,298,808.88
  5. Step 5: Solve for x
    x = 274,298,808.88/10,783.13
  6. Step 6: Final answer
    x = 25,437.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.