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Finding the Third Proportional to 200,810 and 310,938

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Solution

The third proportional to 200,810 and 310,938 is: 481,462.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,810 : 310,938 = 310,938 : x
  2. Step 2: Convert to fraction form
    200,810/310,938 = 310,938/x
  3. Step 3: Cross multiply
    200,810x = 310,938 × 310,938
  4. Step 4: Simplify right side
    200,810x = 96,682,439,844
  5. Step 5: Solve for x
    x = 96,682,439,844/200,810
  6. Step 6: Final answer
    x = 481,462.28

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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.