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Finding the Third Proportional to 133,543.69 and 194,301.28

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Solution

The third proportional to 133,543.69 and 194,301.28 is: 282,701.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,543.69 : 194,301.28 = 194,301.28 : x
  2. Step 2: Convert to fraction form
    133,543.69/194,301.28 = 194,301.28/x
  3. Step 3: Cross multiply
    133,543.69x = 194,301.28 × 194,301.28
  4. Step 4: Simplify right side
    133,543.69x = 37,752,987,895.39
  5. Step 5: Solve for x
    x = 37,752,987,895.39/133,543.69
  6. Step 6: Final answer
    x = 282,701.40

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.