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Finding the Third Proportional to 419,949 and 646,362

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Solution

The third proportional to 419,949 and 646,362 is: 994,844.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,949 : 646,362 = 646,362 : x
  2. Step 2: Convert to fraction form
    419,949/646,362 = 646,362/x
  3. Step 3: Cross multiply
    419,949x = 646,362 × 646,362
  4. Step 4: Simplify right side
    419,949x = 417,783,835,044
  5. Step 5: Solve for x
    x = 417,783,835,044/419,949
  6. Step 6: Final answer
    x = 994,844.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.