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Finding the Third Proportional to 201,917 and 424,747

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Solution

The third proportional to 201,917 and 424,747 is: 893,486.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,917 : 424,747 = 424,747 : x
  2. Step 2: Convert to fraction form
    201,917/424,747 = 424,747/x
  3. Step 3: Cross multiply
    201,917x = 424,747 × 424,747
  4. Step 4: Simplify right side
    201,917x = 180,410,014,009
  5. Step 5: Solve for x
    x = 180,410,014,009/201,917
  6. Step 6: Final answer
    x = 893,486.01

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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.