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Finding the Third Proportional to 310,724 and 673,286

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Solution

The third proportional to 310,724 and 673,286 is: 1,458,896.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,724 : 673,286 = 673,286 : x
  2. Step 2: Convert to fraction form
    310,724/673,286 = 673,286/x
  3. Step 3: Cross multiply
    310,724x = 673,286 × 673,286
  4. Step 4: Simplify right side
    310,724x = 453,314,037,796
  5. Step 5: Solve for x
    x = 453,314,037,796/310,724
  6. Step 6: Final answer
    x = 1,458,896.12

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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.