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Finding the Third Proportional to 259,744 and 351,984

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Solution

The third proportional to 259,744 and 351,984 is: 476,980.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,744 : 351,984 = 351,984 : x
  2. Step 2: Convert to fraction form
    259,744/351,984 = 351,984/x
  3. Step 3: Cross multiply
    259,744x = 351,984 × 351,984
  4. Step 4: Simplify right side
    259,744x = 123,892,736,256
  5. Step 5: Solve for x
    x = 123,892,736,256/259,744
  6. Step 6: Final answer
    x = 476,980.17

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.