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Finding the Third Proportional to 10,195.88 and 14,433.19

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Solution

The third proportional to 10,195.88 and 14,433.19 is: 20,431.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,195.88 : 14,433.19 = 14,433.19 : x
  2. Step 2: Convert to fraction form
    10,195.88/14,433.19 = 14,433.19/x
  3. Step 3: Cross multiply
    10,195.88x = 14,433.19 × 14,433.19
  4. Step 4: Simplify right side
    10,195.88x = 208,316,901.41
  5. Step 5: Solve for x
    x = 208,316,901.41/10,195.88
  6. Step 6: Final answer
    x = 20,431.49

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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.