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Finding the Third Proportional to 133,057 and 288,261

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Solution

The third proportional to 133,057 and 288,261 is: 624,502.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,057 : 288,261 = 288,261 : x
  2. Step 2: Convert to fraction form
    133,057/288,261 = 288,261/x
  3. Step 3: Cross multiply
    133,057x = 288,261 × 288,261
  4. Step 4: Simplify right side
    133,057x = 83,094,404,121
  5. Step 5: Solve for x
    x = 83,094,404,121/133,057
  6. Step 6: Final answer
    x = 624,502.31

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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.