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Finding the Third Proportional to 422,142 and 888,018

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Solution

The third proportional to 422,142 and 888,018 is: 1,868,034.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,142 : 888,018 = 888,018 : x
  2. Step 2: Convert to fraction form
    422,142/888,018 = 888,018/x
  3. Step 3: Cross multiply
    422,142x = 888,018 × 888,018
  4. Step 4: Simplify right side
    422,142x = 788,575,968,324
  5. Step 5: Solve for x
    x = 788,575,968,324/422,142
  6. Step 6: Final answer
    x = 1,868,034.85

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.