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Finding the Third Proportional to 103,628 and 131,442

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Solution

The third proportional to 103,628 and 131,442 is: 166,721.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,628 : 131,442 = 131,442 : x
  2. Step 2: Convert to fraction form
    103,628/131,442 = 131,442/x
  3. Step 3: Cross multiply
    103,628x = 131,442 × 131,442
  4. Step 4: Simplify right side
    103,628x = 17,276,999,364
  5. Step 5: Solve for x
    x = 17,276,999,364/103,628
  6. Step 6: Final answer
    x = 166,721.34

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.