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Finding the Third Proportional to 137,969 and 211,510

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Solution

The third proportional to 137,969 and 211,510 is: 324,250.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,969 : 211,510 = 211,510 : x
  2. Step 2: Convert to fraction form
    137,969/211,510 = 211,510/x
  3. Step 3: Cross multiply
    137,969x = 211,510 × 211,510
  4. Step 4: Simplify right side
    137,969x = 44,736,480,100
  5. Step 5: Solve for x
    x = 44,736,480,100/137,969
  6. Step 6: Final answer
    x = 324,250.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.