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Finding the Third Proportional to 427,064 and 906,805

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Solution

The third proportional to 427,064 and 906,805 is: 1,925,461.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,064 : 906,805 = 906,805 : x
  2. Step 2: Convert to fraction form
    427,064/906,805 = 906,805/x
  3. Step 3: Cross multiply
    427,064x = 906,805 × 906,805
  4. Step 4: Simplify right side
    427,064x = 822,295,308,025
  5. Step 5: Solve for x
    x = 822,295,308,025/427,064
  6. Step 6: Final answer
    x = 1,925,461.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.