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Finding the Third Proportional to 133,872 and 289,524

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Solution

The third proportional to 133,872 and 289,524 is: 626,151.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,872 : 289,524 = 289,524 : x
  2. Step 2: Convert to fraction form
    133,872/289,524 = 289,524/x
  3. Step 3: Cross multiply
    133,872x = 289,524 × 289,524
  4. Step 4: Simplify right side
    133,872x = 83,824,146,576
  5. Step 5: Solve for x
    x = 83,824,146,576/133,872
  6. Step 6: Final answer
    x = 626,151.45

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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.