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Finding the Third Proportional to 193,133 and 288,579

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Solution

The third proportional to 193,133 and 288,579 is: 431,194.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,133 : 288,579 = 288,579 : x
  2. Step 2: Convert to fraction form
    193,133/288,579 = 288,579/x
  3. Step 3: Cross multiply
    193,133x = 288,579 × 288,579
  4. Step 4: Simplify right side
    193,133x = 83,277,839,241
  5. Step 5: Solve for x
    x = 83,277,839,241/193,133
  6. Step 6: Final answer
    x = 431,194.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.