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Finding the Third Proportional to 197,788.50 and 424,179.75

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Solution

The third proportional to 197,788.50 and 424,179.75 is: 909,701.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,788.50 : 424,179.75 = 424,179.75 : x
  2. Step 2: Convert to fraction form
    197,788.50/424,179.75 = 424,179.75/x
  3. Step 3: Cross multiply
    197,788.50x = 424,179.75 × 424,179.75
  4. Step 4: Simplify right side
    197,788.50x = 179,928,460,310.06
  5. Step 5: Solve for x
    x = 179,928,460,310.06/197,788.50
  6. Step 6: Final answer
    x = 909,701.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.