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Finding the Third Proportional to 329,485 and 719,396

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Solution

The third proportional to 329,485 and 719,396 is: 1,570,725.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,485 : 719,396 = 719,396 : x
  2. Step 2: Convert to fraction form
    329,485/719,396 = 719,396/x
  3. Step 3: Cross multiply
    329,485x = 719,396 × 719,396
  4. Step 4: Simplify right side
    329,485x = 517,530,604,816
  5. Step 5: Solve for x
    x = 517,530,604,816/329,485
  6. Step 6: Final answer
    x = 1,570,725.84

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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.