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Finding the Third Proportional to 216,038.25 and 338,910.75

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Solution

The third proportional to 216,038.25 and 338,910.75 is: 531,667.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,038.25 : 338,910.75 = 338,910.75 : x
  2. Step 2: Convert to fraction form
    216,038.25/338,910.75 = 338,910.75/x
  3. Step 3: Cross multiply
    216,038.25x = 338,910.75 × 338,910.75
  4. Step 4: Simplify right side
    216,038.25x = 114,860,496,465.56
  5. Step 5: Solve for x
    x = 114,860,496,465.56/216,038.25
  6. Step 6: Final answer
    x = 531,667.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.