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Finding the Third Proportional to 628,908 and 889,053

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Solution

The third proportional to 628,908 and 889,053 is: 1,256,805.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,908 : 889,053 = 889,053 : x
  2. Step 2: Convert to fraction form
    628,908/889,053 = 889,053/x
  3. Step 3: Cross multiply
    628,908x = 889,053 × 889,053
  4. Step 4: Simplify right side
    628,908x = 790,415,236,809
  5. Step 5: Solve for x
    x = 790,415,236,809/628,908
  6. Step 6: Final answer
    x = 1,256,805.82

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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.