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Finding the Third Proportional to 208,965 and 304,689

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Solution

The third proportional to 208,965 and 304,689 is: 444,262.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,965 : 304,689 = 304,689 : x
  2. Step 2: Convert to fraction form
    208,965/304,689 = 304,689/x
  3. Step 3: Cross multiply
    208,965x = 304,689 × 304,689
  4. Step 4: Simplify right side
    208,965x = 92,835,386,721
  5. Step 5: Solve for x
    x = 92,835,386,721/208,965
  6. Step 6: Final answer
    x = 444,262.85

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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.