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Finding the Third Proportional to 252,712 and 394,272

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Solution

The third proportional to 252,712 and 394,272 is: 615,128.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,712 : 394,272 = 394,272 : x
  2. Step 2: Convert to fraction form
    252,712/394,272 = 394,272/x
  3. Step 3: Cross multiply
    252,712x = 394,272 × 394,272
  4. Step 4: Simplify right side
    252,712x = 155,450,409,984
  5. Step 5: Solve for x
    x = 155,450,409,984/252,712
  6. Step 6: Final answer
    x = 615,128.72

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.