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Finding the Third Proportional to 247,908 and 509,000

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Solution

The third proportional to 247,908 and 509,000 is: 1,045,069.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,908 : 509,000 = 509,000 : x
  2. Step 2: Convert to fraction form
    247,908/509,000 = 509,000/x
  3. Step 3: Cross multiply
    247,908x = 509,000 × 509,000
  4. Step 4: Simplify right side
    247,908x = 259,081,000,000
  5. Step 5: Solve for x
    x = 259,081,000,000/247,908
  6. Step 6: Final answer
    x = 1,045,069.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.