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Finding the Third Proportional to 137,207 and 300,649

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Solution

The third proportional to 137,207 and 300,649 is: 658,784.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,207 : 300,649 = 300,649 : x
  2. Step 2: Convert to fraction form
    137,207/300,649 = 300,649/x
  3. Step 3: Cross multiply
    137,207x = 300,649 × 300,649
  4. Step 4: Simplify right side
    137,207x = 90,389,821,201
  5. Step 5: Solve for x
    x = 90,389,821,201/137,207
  6. Step 6: Final answer
    x = 658,784.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.