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Finding the Third Proportional to 628,904 and 889,047

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Solution

The third proportional to 628,904 and 889,047 is: 1,256,796.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,904 : 889,047 = 889,047 : x
  2. Step 2: Convert to fraction form
    628,904/889,047 = 889,047/x
  3. Step 3: Cross multiply
    628,904x = 889,047 × 889,047
  4. Step 4: Simplify right side
    628,904x = 790,404,568,209
  5. Step 5: Solve for x
    x = 790,404,568,209/628,904
  6. Step 6: Final answer
    x = 1,256,796.85

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.