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Finding the Third Proportional to 418,148 and 628,164

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Solution

The third proportional to 418,148 and 628,164 is: 943,661.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,148 : 628,164 = 628,164 : x
  2. Step 2: Convert to fraction form
    418,148/628,164 = 628,164/x
  3. Step 3: Cross multiply
    418,148x = 628,164 × 628,164
  4. Step 4: Simplify right side
    418,148x = 394,590,010,896
  5. Step 5: Solve for x
    x = 394,590,010,896/418,148
  6. Step 6: Final answer
    x = 943,661.12

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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.