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Finding the Third Proportional to 306,162 and 671,508

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Solution

The third proportional to 306,162 and 671,508 is: 1,472,824.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,162 : 671,508 = 671,508 : x
  2. Step 2: Convert to fraction form
    306,162/671,508 = 671,508/x
  3. Step 3: Cross multiply
    306,162x = 671,508 × 671,508
  4. Step 4: Simplify right side
    306,162x = 450,922,994,064
  5. Step 5: Solve for x
    x = 450,922,994,064/306,162
  6. Step 6: Final answer
    x = 1,472,824.82

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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.