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Finding the Third Proportional to 200,977 and 319,915

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Solution

The third proportional to 200,977 and 319,915 is: 509,240.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,977 : 319,915 = 319,915 : x
  2. Step 2: Convert to fraction form
    200,977/319,915 = 319,915/x
  3. Step 3: Cross multiply
    200,977x = 319,915 × 319,915
  4. Step 4: Simplify right side
    200,977x = 102,345,607,225
  5. Step 5: Solve for x
    x = 102,345,607,225/200,977
  6. Step 6: Final answer
    x = 509,240.40

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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.