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Finding the Third Proportional to 200,038.50 and 434,418.75

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Solution

The third proportional to 200,038.50 and 434,418.75 is: 943,416.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,038.50 : 434,418.75 = 434,418.75 : x
  2. Step 2: Convert to fraction form
    200,038.50/434,418.75 = 434,418.75/x
  3. Step 3: Cross multiply
    200,038.50x = 434,418.75 × 434,418.75
  4. Step 4: Simplify right side
    200,038.50x = 188,719,650,351.56
  5. Step 5: Solve for x
    x = 188,719,650,351.56/200,038.50
  6. Step 6: Final answer
    x = 943,416.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.