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Finding the Third Proportional to 201,909 and 424,731

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Solution

The third proportional to 201,909 and 424,731 is: 893,454.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,909 : 424,731 = 424,731 : x
  2. Step 2: Convert to fraction form
    201,909/424,731 = 424,731/x
  3. Step 3: Cross multiply
    201,909x = 424,731 × 424,731
  4. Step 4: Simplify right side
    201,909x = 180,396,422,361
  5. Step 5: Solve for x
    x = 180,396,422,361/201,909
  6. Step 6: Final answer
    x = 893,454.09

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.