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Finding the Third Proportional to 234,014 and 505,448

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Solution

The third proportional to 234,014 and 505,448 is: 1,091,719.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,014 : 505,448 = 505,448 : x
  2. Step 2: Convert to fraction form
    234,014/505,448 = 505,448/x
  3. Step 3: Cross multiply
    234,014x = 505,448 × 505,448
  4. Step 4: Simplify right side
    234,014x = 255,477,680,704
  5. Step 5: Solve for x
    x = 255,477,680,704/234,014
  6. Step 6: Final answer
    x = 1,091,719.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.