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Finding the Third Proportional to 329,638 and 718,028

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Solution

The third proportional to 329,638 and 718,028 is: 1,564,031.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,638 : 718,028 = 718,028 : x
  2. Step 2: Convert to fraction form
    329,638/718,028 = 718,028/x
  3. Step 3: Cross multiply
    329,638x = 718,028 × 718,028
  4. Step 4: Simplify right side
    329,638x = 515,564,208,784
  5. Step 5: Solve for x
    x = 515,564,208,784/329,638
  6. Step 6: Final answer
    x = 1,564,031.48

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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.