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Finding the Third Proportional to 292,258 and 628,190

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Solution

The third proportional to 292,258 and 628,190 is: 1,350,254.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,258 : 628,190 = 628,190 : x
  2. Step 2: Convert to fraction form
    292,258/628,190 = 628,190/x
  3. Step 3: Cross multiply
    292,258x = 628,190 × 628,190
  4. Step 4: Simplify right side
    292,258x = 394,622,676,100
  5. Step 5: Solve for x
    x = 394,622,676,100/292,258
  6. Step 6: Final answer
    x = 1,350,254.49

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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.