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Finding the Third Proportional to 414,844 and 904,780

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Solution

The third proportional to 414,844 and 904,780 is: 1,973,336.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,844 : 904,780 = 904,780 : x
  2. Step 2: Convert to fraction form
    414,844/904,780 = 904,780/x
  3. Step 3: Cross multiply
    414,844x = 904,780 × 904,780
  4. Step 4: Simplify right side
    414,844x = 818,626,848,400
  5. Step 5: Solve for x
    x = 818,626,848,400/414,844
  6. Step 6: Final answer
    x = 1,973,336.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.