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Finding the Third Proportional to 321,038 and 490,105

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Solution

The third proportional to 321,038 and 490,105 is: 748,207.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,038 : 490,105 = 490,105 : x
  2. Step 2: Convert to fraction form
    321,038/490,105 = 490,105/x
  3. Step 3: Cross multiply
    321,038x = 490,105 × 490,105
  4. Step 4: Simplify right side
    321,038x = 240,202,911,025
  5. Step 5: Solve for x
    x = 240,202,911,025/321,038
  6. Step 6: Final answer
    x = 748,207.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.