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Finding the Third Proportional to 200,948 and 272,913

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Solution

The third proportional to 200,948 and 272,913 is: 370,650.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,948 : 272,913 = 272,913 : x
  2. Step 2: Convert to fraction form
    200,948/272,913 = 272,913/x
  3. Step 3: Cross multiply
    200,948x = 272,913 × 272,913
  4. Step 4: Simplify right side
    200,948x = 74,481,505,569
  5. Step 5: Solve for x
    x = 74,481,505,569/200,948
  6. Step 6: Final answer
    x = 370,650.64

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.