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Finding the Third Proportional to 129,870.75 and 194,283.56

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Solution

The third proportional to 129,870.75 and 194,283.56 is: 290,643.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,870.75 : 194,283.56 = 194,283.56 : x
  2. Step 2: Convert to fraction form
    129,870.75/194,283.56 = 194,283.56/x
  3. Step 3: Cross multiply
    129,870.75x = 194,283.56 × 194,283.56
  4. Step 4: Simplify right side
    129,870.75x = 37,746,102,657.69
  5. Step 5: Solve for x
    x = 37,746,102,657.69/129,870.75
  6. Step 6: Final answer
    x = 290,643.60

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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.