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Finding the Third Proportional to 133,784 and 289,984

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Solution

The third proportional to 133,784 and 289,984 is: 628,555.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,784 : 289,984 = 289,984 : x
  2. Step 2: Convert to fraction form
    133,784/289,984 = 289,984/x
  3. Step 3: Cross multiply
    133,784x = 289,984 × 289,984
  4. Step 4: Simplify right side
    133,784x = 84,090,720,256
  5. Step 5: Solve for x
    x = 84,090,720,256/133,784
  6. Step 6: Final answer
    x = 628,555.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.