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Finding the Third Proportional to 133,515 and 289,082.25

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Solution

The third proportional to 133,515 and 289,082.25 is: 625,911.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,515 : 289,082.25 = 289,082.25 : x
  2. Step 2: Convert to fraction form
    133,515/289,082.25 = 289,082.25/x
  3. Step 3: Cross multiply
    133,515x = 289,082.25 × 289,082.25
  4. Step 4: Simplify right side
    133,515x = 83,568,547,265.06
  5. Step 5: Solve for x
    x = 83,568,547,265.06/133,515
  6. Step 6: Final answer
    x = 625,911.30

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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.