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Finding the Third Proportional to 306,707 and 674,326

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Solution

The third proportional to 306,707 and 674,326 is: 1,482,573.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,707 : 674,326 = 674,326 : x
  2. Step 2: Convert to fraction form
    306,707/674,326 = 674,326/x
  3. Step 3: Cross multiply
    306,707x = 674,326 × 674,326
  4. Step 4: Simplify right side
    306,707x = 454,715,554,276
  5. Step 5: Solve for x
    x = 454,715,554,276/306,707
  6. Step 6: Final answer
    x = 1,482,573.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.