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Finding the Third Proportional to 120,030 and 193,345

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Solution

The third proportional to 120,030 and 193,345 is: 311,441.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,030 : 193,345 = 193,345 : x
  2. Step 2: Convert to fraction form
    120,030/193,345 = 193,345/x
  3. Step 3: Cross multiply
    120,030x = 193,345 × 193,345
  4. Step 4: Simplify right side
    120,030x = 37,382,289,025
  5. Step 5: Solve for x
    x = 37,382,289,025/120,030
  6. Step 6: Final answer
    x = 311,441.21

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.