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Finding the Third Proportional to 151,431 and 318,546

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Solution

The third proportional to 151,431 and 318,546 is: 670,084.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,431 : 318,546 = 318,546 : x
  2. Step 2: Convert to fraction form
    151,431/318,546 = 318,546/x
  3. Step 3: Cross multiply
    151,431x = 318,546 × 318,546
  4. Step 4: Simplify right side
    151,431x = 101,471,554,116
  5. Step 5: Solve for x
    x = 101,471,554,116/151,431
  6. Step 6: Final answer
    x = 670,084.42

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.