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Finding the Third Proportional to 306,212 and 656,724

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Solution

The third proportional to 306,212 and 656,724 is: 1,408,456.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,212 : 656,724 = 656,724 : x
  2. Step 2: Convert to fraction form
    306,212/656,724 = 656,724/x
  3. Step 3: Cross multiply
    306,212x = 656,724 × 656,724
  4. Step 4: Simplify right side
    306,212x = 431,286,412,176
  5. Step 5: Solve for x
    x = 431,286,412,176/306,212
  6. Step 6: Final answer
    x = 1,408,456.93

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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.