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Finding the Third Proportional to 133,252 and 289,112

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Solution

The third proportional to 133,252 and 289,112 is: 627,275.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,252 : 289,112 = 289,112 : x
  2. Step 2: Convert to fraction form
    133,252/289,112 = 289,112/x
  3. Step 3: Cross multiply
    133,252x = 289,112 × 289,112
  4. Step 4: Simplify right side
    133,252x = 83,585,748,544
  5. Step 5: Solve for x
    x = 83,585,748,544/133,252
  6. Step 6: Final answer
    x = 627,275.75

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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.