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Finding the Third Proportional to 103,489 and 164,144

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Solution

The third proportional to 103,489 and 164,144 is: 260,348.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,489 : 164,144 = 164,144 : x
  2. Step 2: Convert to fraction form
    103,489/164,144 = 164,144/x
  3. Step 3: Cross multiply
    103,489x = 164,144 × 164,144
  4. Step 4: Simplify right side
    103,489x = 26,943,252,736
  5. Step 5: Solve for x
    x = 26,943,252,736/103,489
  6. Step 6: Final answer
    x = 260,348.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.