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Finding the Third Proportional to 124,566 and 193,406

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Solution

The third proportional to 124,566 and 193,406 is: 300,289.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,566 : 193,406 = 193,406 : x
  2. Step 2: Convert to fraction form
    124,566/193,406 = 193,406/x
  3. Step 3: Cross multiply
    124,566x = 193,406 × 193,406
  4. Step 4: Simplify right side
    124,566x = 37,405,880,836
  5. Step 5: Solve for x
    x = 37,405,880,836/124,566
  6. Step 6: Final answer
    x = 300,289.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.