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Finding the Third Proportional to 279,726 and 433,926

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Solution

The third proportional to 279,726 and 433,926 is: 673,129.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,726 : 433,926 = 433,926 : x
  2. Step 2: Convert to fraction form
    279,726/433,926 = 433,926/x
  3. Step 3: Cross multiply
    279,726x = 433,926 × 433,926
  4. Step 4: Simplify right side
    279,726x = 188,291,773,476
  5. Step 5: Solve for x
    x = 188,291,773,476/279,726
  6. Step 6: Final answer
    x = 673,129.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.