Home / 200,285,466.75-422,091,013.50

Finding the Third Proportional to 200,285,466.75 and 422,091,013.50

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Solution

The third proportional to 200,285,466.75 and 422,091,013.50 is: 889,534,455.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,285,466.75 : 422,091,013.50 = 422,091,013.50 : x
  2. Step 2: Convert to fraction form
    200,285,466.75/422,091,013.50 = 422,091,013.50/x
  3. Step 3: Cross multiply
    200,285,466.75x = 422,091,013.50 × 422,091,013.50
  4. Step 4: Simplify right side
    200,285,466.75x = 178,160,823,677,457,184
  5. Step 5: Solve for x
    x = 178,160,823,677,457,184/200,285,466.75
  6. Step 6: Final answer
    x = 889,534,455.84

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.