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Finding the Third Proportional to 202,186 and 313,937

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Solution

The third proportional to 202,186 and 313,937 is: 487,454.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,186 : 313,937 = 313,937 : x
  2. Step 2: Convert to fraction form
    202,186/313,937 = 313,937/x
  3. Step 3: Cross multiply
    202,186x = 313,937 × 313,937
  4. Step 4: Simplify right side
    202,186x = 98,556,439,969
  5. Step 5: Solve for x
    x = 98,556,439,969/202,186
  6. Step 6: Final answer
    x = 487,454.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.