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Finding the Third Proportional to 292,422 and 628,356

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Solution

The third proportional to 292,422 and 628,356 is: 1,350,210.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,422 : 628,356 = 628,356 : x
  2. Step 2: Convert to fraction form
    292,422/628,356 = 628,356/x
  3. Step 3: Cross multiply
    292,422x = 628,356 × 628,356
  4. Step 4: Simplify right side
    292,422x = 394,831,262,736
  5. Step 5: Solve for x
    x = 394,831,262,736/292,422
  6. Step 6: Final answer
    x = 1,350,210.53

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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.