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Finding the Third Proportional to 137,203 and 300,641

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Solution

The third proportional to 137,203 and 300,641 is: 658,768.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,203 : 300,641 = 300,641 : x
  2. Step 2: Convert to fraction form
    137,203/300,641 = 300,641/x
  3. Step 3: Cross multiply
    137,203x = 300,641 × 300,641
  4. Step 4: Simplify right side
    137,203x = 90,385,010,881
  5. Step 5: Solve for x
    x = 90,385,010,881/137,203
  6. Step 6: Final answer
    x = 658,768.47

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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.