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Finding the Third Proportional to 329,190 and 708,321

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Solution

The third proportional to 329,190 and 708,321 is: 1,524,100.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,190 : 708,321 = 708,321 : x
  2. Step 2: Convert to fraction form
    329,190/708,321 = 708,321/x
  3. Step 3: Cross multiply
    329,190x = 708,321 × 708,321
  4. Step 4: Simplify right side
    329,190x = 501,718,639,041
  5. Step 5: Solve for x
    x = 501,718,639,041/329,190
  6. Step 6: Final answer
    x = 1,524,100.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.