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Finding the Third Proportional to 292,170 and 628,728

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Solution

The third proportional to 292,170 and 628,728 is: 1,352,975.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,170 : 628,728 = 628,728 : x
  2. Step 2: Convert to fraction form
    292,170/628,728 = 628,728/x
  3. Step 3: Cross multiply
    292,170x = 628,728 × 628,728
  4. Step 4: Simplify right side
    292,170x = 395,298,897,984
  5. Step 5: Solve for x
    x = 395,298,897,984/292,170
  6. Step 6: Final answer
    x = 1,352,975.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.