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Finding the Third Proportional to 10,783.13 and 18,969.19

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Solution

The third proportional to 10,783.13 and 18,969.19 is: 33,369.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.13 : 18,969.19 = 18,969.19 : x
  2. Step 2: Convert to fraction form
    10,783.13/18,969.19 = 18,969.19/x
  3. Step 3: Cross multiply
    10,783.13x = 18,969.19 × 18,969.19
  4. Step 4: Simplify right side
    10,783.13x = 359,830,074.41
  5. Step 5: Solve for x
    x = 359,830,074.41/10,783.13
  6. Step 6: Final answer
    x = 33,369.74

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.