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Finding the Third Proportional to 127,220 and 264,905

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Solution

The third proportional to 127,220 and 264,905 is: 551,600.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,220 : 264,905 = 264,905 : x
  2. Step 2: Convert to fraction form
    127,220/264,905 = 264,905/x
  3. Step 3: Cross multiply
    127,220x = 264,905 × 264,905
  4. Step 4: Simplify right side
    127,220x = 70,174,659,025
  5. Step 5: Solve for x
    x = 70,174,659,025/127,220
  6. Step 6: Final answer
    x = 551,600.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.