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Finding the Third Proportional to 427,338 and 911,871

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Solution

The third proportional to 427,338 and 911,871 is: 1,945,786.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,338 : 911,871 = 911,871 : x
  2. Step 2: Convert to fraction form
    427,338/911,871 = 911,871/x
  3. Step 3: Cross multiply
    427,338x = 911,871 × 911,871
  4. Step 4: Simplify right side
    427,338x = 831,508,720,641
  5. Step 5: Solve for x
    x = 831,508,720,641/427,338
  6. Step 6: Final answer
    x = 1,945,786.99

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.