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Finding the Third Proportional to 306,167 and 656,621

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Solution

The third proportional to 306,167 and 656,621 is: 1,408,222.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,167 : 656,621 = 656,621 : x
  2. Step 2: Convert to fraction form
    306,167/656,621 = 656,621/x
  3. Step 3: Cross multiply
    306,167x = 656,621 × 656,621
  4. Step 4: Simplify right side
    306,167x = 431,151,137,641
  5. Step 5: Solve for x
    x = 431,151,137,641/306,167
  6. Step 6: Final answer
    x = 1,408,222.11

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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.