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Finding the Third Proportional to 339,579 and 731,322

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Solution

The third proportional to 339,579 and 731,322 is: 1,574,985.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,579 : 731,322 = 731,322 : x
  2. Step 2: Convert to fraction form
    339,579/731,322 = 731,322/x
  3. Step 3: Cross multiply
    339,579x = 731,322 × 731,322
  4. Step 4: Simplify right side
    339,579x = 534,831,867,684
  5. Step 5: Solve for x
    x = 534,831,867,684/339,579
  6. Step 6: Final answer
    x = 1,574,985.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.