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Finding the Third Proportional to 405,258 and 938,179

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Solution

The third proportional to 405,258 and 938,179 is: 2,171,899.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,258 : 938,179 = 938,179 : x
  2. Step 2: Convert to fraction form
    405,258/938,179 = 938,179/x
  3. Step 3: Cross multiply
    405,258x = 938,179 × 938,179
  4. Step 4: Simplify right side
    405,258x = 880,179,836,041
  5. Step 5: Solve for x
    x = 880,179,836,041/405,258
  6. Step 6: Final answer
    x = 2,171,899.97

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.