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Finding the Third Proportional to 10,999.13 and 15,671.81

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Solution

The third proportional to 10,999.13 and 15,671.81 is: 22,329.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,999.13 : 15,671.81 = 15,671.81 : x
  2. Step 2: Convert to fraction form
    10,999.13/15,671.81 = 15,671.81/x
  3. Step 3: Cross multiply
    10,999.13x = 15,671.81 × 15,671.81
  4. Step 4: Simplify right side
    10,999.13x = 245,605,707.04
  5. Step 5: Solve for x
    x = 245,605,707.04/10,999.13
  6. Step 6: Final answer
    x = 22,329.57

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.