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Finding the Third Proportional to 149,909 and 316,546

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Solution

The third proportional to 149,909 and 316,546 is: 668,414.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,909 : 316,546 = 316,546 : x
  2. Step 2: Convert to fraction form
    149,909/316,546 = 316,546/x
  3. Step 3: Cross multiply
    149,909x = 316,546 × 316,546
  4. Step 4: Simplify right side
    149,909x = 100,201,370,116
  5. Step 5: Solve for x
    x = 100,201,370,116/149,909
  6. Step 6: Final answer
    x = 668,414.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.