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Finding the Third Proportional to 329,038 and 682,970

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Solution

The third proportional to 329,038 and 682,970 is: 1,417,611.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,038 : 682,970 = 682,970 : x
  2. Step 2: Convert to fraction form
    329,038/682,970 = 682,970/x
  3. Step 3: Cross multiply
    329,038x = 682,970 × 682,970
  4. Step 4: Simplify right side
    329,038x = 466,448,020,900
  5. Step 5: Solve for x
    x = 466,448,020,900/329,038
  6. Step 6: Final answer
    x = 1,417,611.40

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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.