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Finding the Third Proportional to 197,376.75 and 420,040.69

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Solution

The third proportional to 197,376.75 and 420,040.69 is: 893,895.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,376.75 : 420,040.69 = 420,040.69 : x
  2. Step 2: Convert to fraction form
    197,376.75/420,040.69 = 420,040.69/x
  3. Step 3: Cross multiply
    197,376.75x = 420,040.69 × 420,040.69
  4. Step 4: Simplify right side
    197,376.75x = 176,434,179,155.47
  5. Step 5: Solve for x
    x = 176,434,179,155.47/197,376.75
  6. Step 6: Final answer
    x = 893,895.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.