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Finding the Third Proportional to 306,656 and 671,632

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Solution

The third proportional to 306,656 and 671,632 is: 1,470,995.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,656 : 671,632 = 671,632 : x
  2. Step 2: Convert to fraction form
    306,656/671,632 = 671,632/x
  3. Step 3: Cross multiply
    306,656x = 671,632 × 671,632
  4. Step 4: Simplify right side
    306,656x = 451,089,543,424
  5. Step 5: Solve for x
    x = 451,089,543,424/306,656
  6. Step 6: Final answer
    x = 1,470,995.33

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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.