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Finding the Third Proportional to 310,932 and 659,229

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Solution

The third proportional to 310,932 and 659,229 is: 1,397,678.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,932 : 659,229 = 659,229 : x
  2. Step 2: Convert to fraction form
    310,932/659,229 = 659,229/x
  3. Step 3: Cross multiply
    310,932x = 659,229 × 659,229
  4. Step 4: Simplify right side
    310,932x = 434,582,874,441
  5. Step 5: Solve for x
    x = 434,582,874,441/310,932
  6. Step 6: Final answer
    x = 1,397,678.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.