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Finding the Third Proportional to 311,858 and 673,604

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Solution

The third proportional to 311,858 and 673,604 is: 1,454,964.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,858 : 673,604 = 673,604 : x
  2. Step 2: Convert to fraction form
    311,858/673,604 = 673,604/x
  3. Step 3: Cross multiply
    311,858x = 673,604 × 673,604
  4. Step 4: Simplify right side
    311,858x = 453,742,348,816
  5. Step 5: Solve for x
    x = 453,742,348,816/311,858
  6. Step 6: Final answer
    x = 1,454,964.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.