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Finding the Third Proportional to 234,030 and 334,420

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Solution

The third proportional to 234,030 and 334,420 is: 477,873.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,030 : 334,420 = 334,420 : x
  2. Step 2: Convert to fraction form
    234,030/334,420 = 334,420/x
  3. Step 3: Cross multiply
    234,030x = 334,420 × 334,420
  4. Step 4: Simplify right side
    234,030x = 111,836,736,400
  5. Step 5: Solve for x
    x = 111,836,736,400/234,030
  6. Step 6: Final answer
    x = 477,873.51

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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.