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Finding the Third Proportional to 306,010 and 662,858

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Solution

The third proportional to 306,010 and 662,858 is: 1,435,837.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,010 : 662,858 = 662,858 : x
  2. Step 2: Convert to fraction form
    306,010/662,858 = 662,858/x
  3. Step 3: Cross multiply
    306,010x = 662,858 × 662,858
  4. Step 4: Simplify right side
    306,010x = 439,380,728,164
  5. Step 5: Solve for x
    x = 439,380,728,164/306,010
  6. Step 6: Final answer
    x = 1,435,837.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.