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Finding the Third Proportional to 200,972 and 319,907

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Solution

The third proportional to 200,972 and 319,907 is: 509,227.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,972 : 319,907 = 319,907 : x
  2. Step 2: Convert to fraction form
    200,972/319,907 = 319,907/x
  3. Step 3: Cross multiply
    200,972x = 319,907 × 319,907
  4. Step 4: Simplify right side
    200,972x = 102,340,488,649
  5. Step 5: Solve for x
    x = 102,340,488,649/200,972
  6. Step 6: Final answer
    x = 509,227.60

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.