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Finding the Third Proportional to 129,871.69 and 194,284.88

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Solution

The third proportional to 129,871.69 and 194,284.88 is: 290,645.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,871.69 : 194,284.88 = 194,284.88 : x
  2. Step 2: Convert to fraction form
    129,871.69/194,284.88 = 194,284.88/x
  3. Step 3: Cross multiply
    129,871.69x = 194,284.88 × 194,284.88
  4. Step 4: Simplify right side
    129,871.69x = 37,746,612,653.77
  5. Step 5: Solve for x
    x = 37,746,612,653.77/129,871.69
  6. Step 6: Final answer
    x = 290,645.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.