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Finding the Third Proportional to 214,506 and 321,345

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Solution

The third proportional to 214,506 and 321,345 is: 481,397.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,506 : 321,345 = 321,345 : x
  2. Step 2: Convert to fraction form
    214,506/321,345 = 321,345/x
  3. Step 3: Cross multiply
    214,506x = 321,345 × 321,345
  4. Step 4: Simplify right side
    214,506x = 103,262,609,025
  5. Step 5: Solve for x
    x = 103,262,609,025/214,506
  6. Step 6: Final answer
    x = 481,397.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.