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Finding the Third Proportional to 209,576 and 456,296

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Solution

The third proportional to 209,576 and 456,296 is: 993,463.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,576 : 456,296 = 456,296 : x
  2. Step 2: Convert to fraction form
    209,576/456,296 = 456,296/x
  3. Step 3: Cross multiply
    209,576x = 456,296 × 456,296
  4. Step 4: Simplify right side
    209,576x = 208,206,039,616
  5. Step 5: Solve for x
    x = 208,206,039,616/209,576
  6. Step 6: Final answer
    x = 993,463.18

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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.