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Finding the Third Proportional to 621,029 and 1,264,895

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Solution

The third proportional to 621,029 and 1,264,895 is: 2,576,303.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,029 : 1,264,895 = 1,264,895 : x
  2. Step 2: Convert to fraction form
    621,029/1,264,895 = 1,264,895/x
  3. Step 3: Cross multiply
    621,029x = 1,264,895 × 1,264,895
  4. Step 4: Simplify right side
    621,029x = 1,599,959,361,025
  5. Step 5: Solve for x
    x = 1,599,959,361,025/621,029
  6. Step 6: Final answer
    x = 2,576,303.78

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.