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Finding the Third Proportional to 137,209 and 300,652

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Solution

The third proportional to 137,209 and 300,652 is: 658,787.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,209 : 300,652 = 300,652 : x
  2. Step 2: Convert to fraction form
    137,209/300,652 = 300,652/x
  3. Step 3: Cross multiply
    137,209x = 300,652 × 300,652
  4. Step 4: Simplify right side
    137,209x = 90,391,625,104
  5. Step 5: Solve for x
    x = 90,391,625,104/137,209
  6. Step 6: Final answer
    x = 658,787.87

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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.