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Finding the Third Proportional to 151,438 and 329,390

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Solution

The third proportional to 151,438 and 329,390 is: 716,450.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,438 : 329,390 = 329,390 : x
  2. Step 2: Convert to fraction form
    151,438/329,390 = 329,390/x
  3. Step 3: Cross multiply
    151,438x = 329,390 × 329,390
  4. Step 4: Simplify right side
    151,438x = 108,497,772,100
  5. Step 5: Solve for x
    x = 108,497,772,100/151,438
  6. Step 6: Final answer
    x = 716,450.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.