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Finding the Third Proportional to 200,907 and 272,853

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Solution

The third proportional to 200,907 and 272,853 is: 370,563.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,907 : 272,853 = 272,853 : x
  2. Step 2: Convert to fraction form
    200,907/272,853 = 272,853/x
  3. Step 3: Cross multiply
    200,907x = 272,853 × 272,853
  4. Step 4: Simplify right side
    200,907x = 74,448,759,609
  5. Step 5: Solve for x
    x = 74,448,759,609/200,907
  6. Step 6: Final answer
    x = 370,563.29

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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.