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Finding the Third Proportional to 419,313 and 920,998

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Solution

The third proportional to 419,313 and 920,998 is: 2,022,921.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,313 : 920,998 = 920,998 : x
  2. Step 2: Convert to fraction form
    419,313/920,998 = 920,998/x
  3. Step 3: Cross multiply
    419,313x = 920,998 × 920,998
  4. Step 4: Simplify right side
    419,313x = 848,237,316,004
  5. Step 5: Solve for x
    x = 848,237,316,004/419,313
  6. Step 6: Final answer
    x = 2,022,921.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.