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Finding the Third Proportional to 306,164.81 and 656,616.38

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Solution

The third proportional to 306,164.81 and 656,616.38 is: 1,408,212.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,164.81 : 656,616.38 = 656,616.38 : x
  2. Step 2: Convert to fraction form
    306,164.81/656,616.38 = 656,616.38/x
  3. Step 3: Cross multiply
    306,164.81x = 656,616.38 × 656,616.38
  4. Step 4: Simplify right side
    306,164.81x = 431,145,063,918.14
  5. Step 5: Solve for x
    x = 431,145,063,918.14/306,164.81
  6. Step 6: Final answer
    x = 1,408,212.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.