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Finding the Third Proportional to 133,553 and 288,173

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Solution

The third proportional to 133,553 and 288,173 is: 621,803.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,553 : 288,173 = 288,173 : x
  2. Step 2: Convert to fraction form
    133,553/288,173 = 288,173/x
  3. Step 3: Cross multiply
    133,553x = 288,173 × 288,173
  4. Step 4: Simplify right side
    133,553x = 83,043,677,929
  5. Step 5: Solve for x
    x = 83,043,677,929/133,553
  6. Step 6: Final answer
    x = 621,803.16

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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.