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Finding the Third Proportional to 133,232 and 285,457

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Solution

The third proportional to 133,232 and 285,457 is: 611,607.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,232 : 285,457 = 285,457 : x
  2. Step 2: Convert to fraction form
    133,232/285,457 = 285,457/x
  3. Step 3: Cross multiply
    133,232x = 285,457 × 285,457
  4. Step 4: Simplify right side
    133,232x = 81,485,698,849
  5. Step 5: Solve for x
    x = 81,485,698,849/133,232
  6. Step 6: Final answer
    x = 611,607.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.