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Finding the Third Proportional to 334,852 and 477,278

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Solution

The third proportional to 334,852 and 477,278 is: 680,283.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,852 : 477,278 = 477,278 : x
  2. Step 2: Convert to fraction form
    334,852/477,278 = 477,278/x
  3. Step 3: Cross multiply
    334,852x = 477,278 × 477,278
  4. Step 4: Simplify right side
    334,852x = 227,794,289,284
  5. Step 5: Solve for x
    x = 227,794,289,284/334,852
  6. Step 6: Final answer
    x = 680,283.50

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.