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Finding the Third Proportional to 208,912 and 304,620

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Solution

The third proportional to 208,912 and 304,620 is: 444,174.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,912 : 304,620 = 304,620 : x
  2. Step 2: Convert to fraction form
    208,912/304,620 = 304,620/x
  3. Step 3: Cross multiply
    208,912x = 304,620 × 304,620
  4. Step 4: Simplify right side
    208,912x = 92,793,344,400
  5. Step 5: Solve for x
    x = 92,793,344,400/208,912
  6. Step 6: Final answer
    x = 444,174.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.