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Finding the Third Proportional to 200,907 and 312,387

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Solution

The third proportional to 200,907 and 312,387 is: 485,725.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,907 : 312,387 = 312,387 : x
  2. Step 2: Convert to fraction form
    200,907/312,387 = 312,387/x
  3. Step 3: Cross multiply
    200,907x = 312,387 × 312,387
  4. Step 4: Simplify right side
    200,907x = 97,585,637,769
  5. Step 5: Solve for x
    x = 97,585,637,769/200,907
  6. Step 6: Final answer
    x = 485,725.42

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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.