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Finding the Third Proportional to 213,321.19 and 458,299.69

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Solution

The third proportional to 213,321.19 and 458,299.69 is: 984,612.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,321.19 : 458,299.69 = 458,299.69 : x
  2. Step 2: Convert to fraction form
    213,321.19/458,299.69 = 458,299.69/x
  3. Step 3: Cross multiply
    213,321.19x = 458,299.69 × 458,299.69
  4. Step 4: Simplify right side
    213,321.19x = 210,038,603,562.60
  5. Step 5: Solve for x
    x = 210,038,603,562.60/213,321.19
  6. Step 6: Final answer
    x = 984,612.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.