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Finding the Third Proportional to 418,127 and 628,133

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Solution

The third proportional to 418,127 and 628,133 is: 943,615.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,127 : 628,133 = 628,133 : x
  2. Step 2: Convert to fraction form
    418,127/628,133 = 628,133/x
  3. Step 3: Cross multiply
    418,127x = 628,133 × 628,133
  4. Step 4: Simplify right side
    418,127x = 394,551,065,689
  5. Step 5: Solve for x
    x = 394,551,065,689/418,127
  6. Step 6: Final answer
    x = 943,615.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.