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Finding the Third Proportional to 412,628.50 and 903,989

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Solution

The third proportional to 412,628.50 and 903,989 is: 1,980,464.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,628.50 : 903,989 = 903,989 : x
  2. Step 2: Convert to fraction form
    412,628.50/903,989 = 903,989/x
  3. Step 3: Cross multiply
    412,628.50x = 903,989 × 903,989
  4. Step 4: Simplify right side
    412,628.50x = 817,196,112,121
  5. Step 5: Solve for x
    x = 817,196,112,121/412,628.50
  6. Step 6: Final answer
    x = 1,980,464.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.