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Finding the Third Proportional to 238,930 and 513,276

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Solution

The third proportional to 238,930 and 513,276 is: 1,102,633.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,930 : 513,276 = 513,276 : x
  2. Step 2: Convert to fraction form
    238,930/513,276 = 513,276/x
  3. Step 3: Cross multiply
    238,930x = 513,276 × 513,276
  4. Step 4: Simplify right side
    238,930x = 263,452,252,176
  5. Step 5: Solve for x
    x = 263,452,252,176/238,930
  6. Step 6: Final answer
    x = 1,102,633.63

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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.