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Finding the Third Proportional to 301,728 and 628,248

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Solution

The third proportional to 301,728 and 628,248 is: 1,308,117.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,728 : 628,248 = 628,248 : x
  2. Step 2: Convert to fraction form
    301,728/628,248 = 628,248/x
  3. Step 3: Cross multiply
    301,728x = 628,248 × 628,248
  4. Step 4: Simplify right side
    301,728x = 394,695,549,504
  5. Step 5: Solve for x
    x = 394,695,549,504/301,728
  6. Step 6: Final answer
    x = 1,308,117.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.