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Finding the Third Proportional to 238,696 and 520,000

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Solution

The third proportional to 238,696 and 520,000 is: 1,132,821.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,696 : 520,000 = 520,000 : x
  2. Step 2: Convert to fraction form
    238,696/520,000 = 520,000/x
  3. Step 3: Cross multiply
    238,696x = 520,000 × 520,000
  4. Step 4: Simplify right side
    238,696x = 270,400,000,000
  5. Step 5: Solve for x
    x = 270,400,000,000/238,696
  6. Step 6: Final answer
    x = 1,132,821.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.