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Finding the Third Proportional to 251,906 and 518,590

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Solution

The third proportional to 251,906 and 518,590 is: 1,067,602.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,906 : 518,590 = 518,590 : x
  2. Step 2: Convert to fraction form
    251,906/518,590 = 518,590/x
  3. Step 3: Cross multiply
    251,906x = 518,590 × 518,590
  4. Step 4: Simplify right side
    251,906x = 268,935,588,100
  5. Step 5: Solve for x
    x = 268,935,588,100/251,906
  6. Step 6: Final answer
    x = 1,067,602.95

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.