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Finding the Third Proportional to 208,419 and 322,926

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Solution

The third proportional to 208,419 and 322,926 is: 500,344.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,419 : 322,926 = 322,926 : x
  2. Step 2: Convert to fraction form
    208,419/322,926 = 322,926/x
  3. Step 3: Cross multiply
    208,419x = 322,926 × 322,926
  4. Step 4: Simplify right side
    208,419x = 104,281,201,476
  5. Step 5: Solve for x
    x = 104,281,201,476/208,419
  6. Step 6: Final answer
    x = 500,344.03

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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.