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Finding the Third Proportional to 245,692 and 509,816

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Solution

The third proportional to 245,692 and 509,816 is: 1,057,878.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,692 : 509,816 = 509,816 : x
  2. Step 2: Convert to fraction form
    245,692/509,816 = 509,816/x
  3. Step 3: Cross multiply
    245,692x = 509,816 × 509,816
  4. Step 4: Simplify right side
    245,692x = 259,912,353,856
  5. Step 5: Solve for x
    x = 259,912,353,856/245,692
  6. Step 6: Final answer
    x = 1,057,878.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.