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Finding the Third Proportional to 200,570 and 310,918

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Solution

The third proportional to 200,570 and 310,918 is: 481,976.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,570 : 310,918 = 310,918 : x
  2. Step 2: Convert to fraction form
    200,570/310,918 = 310,918/x
  3. Step 3: Cross multiply
    200,570x = 310,918 × 310,918
  4. Step 4: Simplify right side
    200,570x = 96,670,002,724
  5. Step 5: Solve for x
    x = 96,670,002,724/200,570
  6. Step 6: Final answer
    x = 481,976.38

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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.