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Finding the Third Proportional to 621,869 and 1,318,470

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Solution

The third proportional to 621,869 and 1,318,470 is: 2,795,384.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,869 : 1,318,470 = 1,318,470 : x
  2. Step 2: Convert to fraction form
    621,869/1,318,470 = 1,318,470/x
  3. Step 3: Cross multiply
    621,869x = 1,318,470 × 1,318,470
  4. Step 4: Simplify right side
    621,869x = 1,738,363,140,900
  5. Step 5: Solve for x
    x = 1,738,363,140,900/621,869
  6. Step 6: Final answer
    x = 2,795,384.79

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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.