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Finding the Third Proportional to 200,680 and 293,821

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Solution

The third proportional to 200,680 and 293,821 is: 430,191.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,680 : 293,821 = 293,821 : x
  2. Step 2: Convert to fraction form
    200,680/293,821 = 293,821/x
  3. Step 3: Cross multiply
    200,680x = 293,821 × 293,821
  4. Step 4: Simplify right side
    200,680x = 86,330,780,041
  5. Step 5: Solve for x
    x = 86,330,780,041/200,680
  6. Step 6: Final answer
    x = 430,191.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.