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Finding the Third Proportional to 306,077 and 662,020

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Solution

The third proportional to 306,077 and 662,020 is: 1,431,896.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,077 : 662,020 = 662,020 : x
  2. Step 2: Convert to fraction form
    306,077/662,020 = 662,020/x
  3. Step 3: Cross multiply
    306,077x = 662,020 × 662,020
  4. Step 4: Simplify right side
    306,077x = 438,270,480,400
  5. Step 5: Solve for x
    x = 438,270,480,400/306,077
  6. Step 6: Final answer
    x = 1,431,896.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.