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Finding the Third Proportional to 238,919.63 and 513,255.38

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Solution

The third proportional to 238,919.63 and 513,255.38 is: 1,102,592.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,919.63 : 513,255.38 = 513,255.38 : x
  2. Step 2: Convert to fraction form
    238,919.63/513,255.38 = 513,255.38/x
  3. Step 3: Cross multiply
    238,919.63x = 513,255.38 × 513,255.38
  4. Step 4: Simplify right side
    238,919.63x = 263,431,079,966.39
  5. Step 5: Solve for x
    x = 263,431,079,966.39/238,919.63
  6. Step 6: Final answer
    x = 1,102,592.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.