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Finding the Third Proportional to 431,138 and 579,996

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Solution

The third proportional to 431,138 and 579,996 is: 780,249.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,138 : 579,996 = 579,996 : x
  2. Step 2: Convert to fraction form
    431,138/579,996 = 579,996/x
  3. Step 3: Cross multiply
    431,138x = 579,996 × 579,996
  4. Step 4: Simplify right side
    431,138x = 336,395,360,016
  5. Step 5: Solve for x
    x = 336,395,360,016/431,138
  6. Step 6: Final answer
    x = 780,249.85

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.