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Finding the Third Proportional to 329,106 and 684,076

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Solution

The third proportional to 329,106 and 684,076 is: 1,421,912.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,106 : 684,076 = 684,076 : x
  2. Step 2: Convert to fraction form
    329,106/684,076 = 684,076/x
  3. Step 3: Cross multiply
    329,106x = 684,076 × 684,076
  4. Step 4: Simplify right side
    329,106x = 467,959,973,776
  5. Step 5: Solve for x
    x = 467,959,973,776/329,106
  6. Step 6: Final answer
    x = 1,421,912.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.