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Finding the Third Proportional to 220,962 and 345,655

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Solution

The third proportional to 220,962 and 345,655 is: 540,714.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,962 : 345,655 = 345,655 : x
  2. Step 2: Convert to fraction form
    220,962/345,655 = 345,655/x
  3. Step 3: Cross multiply
    220,962x = 345,655 × 345,655
  4. Step 4: Simplify right side
    220,962x = 119,477,379,025
  5. Step 5: Solve for x
    x = 119,477,379,025/220,962
  6. Step 6: Final answer
    x = 540,714.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.