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Finding the Third Proportional to 380,144 and 531,464

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Solution

The third proportional to 380,144 and 531,464 is: 743,018.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,144 : 531,464 = 531,464 : x
  2. Step 2: Convert to fraction form
    380,144/531,464 = 531,464/x
  3. Step 3: Cross multiply
    380,144x = 531,464 × 531,464
  4. Step 4: Simplify right side
    380,144x = 282,453,983,296
  5. Step 5: Solve for x
    x = 282,453,983,296/380,144
  6. Step 6: Final answer
    x = 743,018.39

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.