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Finding the Third Proportional to 306,628 and 412,054

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Solution

The third proportional to 306,628 and 412,054 is: 553,727.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,628 : 412,054 = 412,054 : x
  2. Step 2: Convert to fraction form
    306,628/412,054 = 412,054/x
  3. Step 3: Cross multiply
    306,628x = 412,054 × 412,054
  4. Step 4: Simplify right side
    306,628x = 169,788,498,916
  5. Step 5: Solve for x
    x = 169,788,498,916/306,628
  6. Step 6: Final answer
    x = 553,727.97

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.