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Finding the Third Proportional to 309,862 and 656,926

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Solution

The third proportional to 309,862 and 656,926 is: 1,392,722.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,862 : 656,926 = 656,926 : x
  2. Step 2: Convert to fraction form
    309,862/656,926 = 656,926/x
  3. Step 3: Cross multiply
    309,862x = 656,926 × 656,926
  4. Step 4: Simplify right side
    309,862x = 431,551,769,476
  5. Step 5: Solve for x
    x = 431,551,769,476/309,862
  6. Step 6: Final answer
    x = 1,392,722.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.