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Finding the Third Proportional to 455,830.03 and 978,112.97

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Solution

The third proportional to 455,830.03 and 978,112.97 is: 2,098,819.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,830.03 : 978,112.97 = 978,112.97 : x
  2. Step 2: Convert to fraction form
    455,830.03/978,112.97 = 978,112.97/x
  3. Step 3: Cross multiply
    455,830.03x = 978,112.97 × 978,112.97
  4. Step 4: Simplify right side
    455,830.03x = 956,704,979,636.94
  5. Step 5: Solve for x
    x = 956,704,979,636.94/455,830.03
  6. Step 6: Final answer
    x = 2,098,819.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.