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Finding the Third Proportional to 455,904 and 992,078

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Solution

The third proportional to 455,904 and 992,078 is: 2,158,828.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,904 : 992,078 = 992,078 : x
  2. Step 2: Convert to fraction form
    455,904/992,078 = 992,078/x
  3. Step 3: Cross multiply
    455,904x = 992,078 × 992,078
  4. Step 4: Simplify right side
    455,904x = 984,218,758,084
  5. Step 5: Solve for x
    x = 984,218,758,084/455,904
  6. Step 6: Final answer
    x = 2,158,828.96

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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.