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Finding the Third Proportional to 840,816 and 1,208,736

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Solution

The third proportional to 840,816 and 1,208,736 is: 1,737,648.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,816 : 1,208,736 = 1,208,736 : x
  2. Step 2: Convert to fraction form
    840,816/1,208,736 = 1,208,736/x
  3. Step 3: Cross multiply
    840,816x = 1,208,736 × 1,208,736
  4. Step 4: Simplify right side
    840,816x = 1,461,042,717,696
  5. Step 5: Solve for x
    x = 1,461,042,717,696/840,816
  6. Step 6: Final answer
    x = 1,737,648.57

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.