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Finding the Third Proportional to 101,066 and 214,454

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Solution

The third proportional to 101,066 and 214,454 is: 455,054.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,066 : 214,454 = 214,454 : x
  2. Step 2: Convert to fraction form
    101,066/214,454 = 214,454/x
  3. Step 3: Cross multiply
    101,066x = 214,454 × 214,454
  4. Step 4: Simplify right side
    101,066x = 45,990,518,116
  5. Step 5: Solve for x
    x = 45,990,518,116/101,066
  6. Step 6: Final answer
    x = 455,054.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.