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Finding the Third Proportional to 103,838 and 136,346

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Solution

The third proportional to 103,838 and 136,346 is: 179,031.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,838 : 136,346 = 136,346 : x
  2. Step 2: Convert to fraction form
    103,838/136,346 = 136,346/x
  3. Step 3: Cross multiply
    103,838x = 136,346 × 136,346
  4. Step 4: Simplify right side
    103,838x = 18,590,231,716
  5. Step 5: Solve for x
    x = 18,590,231,716/103,838
  6. Step 6: Final answer
    x = 179,031.10

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.