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Finding the Third Proportional to 288,127 and 628,741

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Solution

The third proportional to 288,127 and 628,741 is: 1,372,017.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,127 : 628,741 = 628,741 : x
  2. Step 2: Convert to fraction form
    288,127/628,741 = 628,741/x
  3. Step 3: Cross multiply
    288,127x = 628,741 × 628,741
  4. Step 4: Simplify right side
    288,127x = 395,315,245,081
  5. Step 5: Solve for x
    x = 395,315,245,081/288,127
  6. Step 6: Final answer
    x = 1,372,017.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.