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Finding the Third Proportional to 405,360 and 938,313

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Solution

The third proportional to 405,360 and 938,313 is: 2,171,973.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,360 : 938,313 = 938,313 : x
  2. Step 2: Convert to fraction form
    405,360/938,313 = 938,313/x
  3. Step 3: Cross multiply
    405,360x = 938,313 × 938,313
  4. Step 4: Simplify right side
    405,360x = 880,431,285,969
  5. Step 5: Solve for x
    x = 880,431,285,969/405,360
  6. Step 6: Final answer
    x = 2,171,973.77

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.