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Finding the Third Proportional to 356,138 and 554,631

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Solution

The third proportional to 356,138 and 554,631 is: 863,753.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,138 : 554,631 = 554,631 : x
  2. Step 2: Convert to fraction form
    356,138/554,631 = 554,631/x
  3. Step 3: Cross multiply
    356,138x = 554,631 × 554,631
  4. Step 4: Simplify right side
    356,138x = 307,615,546,161
  5. Step 5: Solve for x
    x = 307,615,546,161/356,138
  6. Step 6: Final answer
    x = 863,753.79

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.