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Finding the Third Proportional to 306,800 and 672,640

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Solution

The third proportional to 306,800 and 672,640 is: 1,474,721.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,800 : 672,640 = 672,640 : x
  2. Step 2: Convert to fraction form
    306,800/672,640 = 672,640/x
  3. Step 3: Cross multiply
    306,800x = 672,640 × 672,640
  4. Step 4: Simplify right side
    306,800x = 452,444,569,600
  5. Step 5: Solve for x
    x = 452,444,569,600/306,800
  6. Step 6: Final answer
    x = 1,474,721.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.