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Finding the Third Proportional to 150,214 and 321,752

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Solution

The third proportional to 150,214 and 321,752 is: 689,179.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,214 : 321,752 = 321,752 : x
  2. Step 2: Convert to fraction form
    150,214/321,752 = 321,752/x
  3. Step 3: Cross multiply
    150,214x = 321,752 × 321,752
  4. Step 4: Simplify right side
    150,214x = 103,524,349,504
  5. Step 5: Solve for x
    x = 103,524,349,504/150,214
  6. Step 6: Final answer
    x = 689,179.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.