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Finding the Third Proportional to 133,301 and 289,201

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Solution

The third proportional to 133,301 and 289,201 is: 627,431.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,301 : 289,201 = 289,201 : x
  2. Step 2: Convert to fraction form
    133,301/289,201 = 289,201/x
  3. Step 3: Cross multiply
    133,301x = 289,201 × 289,201
  4. Step 4: Simplify right side
    133,301x = 83,637,218,401
  5. Step 5: Solve for x
    x = 83,637,218,401/133,301
  6. Step 6: Final answer
    x = 627,431.29

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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.