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Finding the Third Proportional to 446,888 and 871,336

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Solution

The third proportional to 446,888 and 871,336 is: 1,698,918.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,888 : 871,336 = 871,336 : x
  2. Step 2: Convert to fraction form
    446,888/871,336 = 871,336/x
  3. Step 3: Cross multiply
    446,888x = 871,336 × 871,336
  4. Step 4: Simplify right side
    446,888x = 759,226,424,896
  5. Step 5: Solve for x
    x = 759,226,424,896/446,888
  6. Step 6: Final answer
    x = 1,698,918.80

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.