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Finding the Third Proportional to 121,642 and 193,705

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Solution

The third proportional to 121,642 and 193,705 is: 308,459.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,642 : 193,705 = 193,705 : x
  2. Step 2: Convert to fraction form
    121,642/193,705 = 193,705/x
  3. Step 3: Cross multiply
    121,642x = 193,705 × 193,705
  4. Step 4: Simplify right side
    121,642x = 37,521,627,025
  5. Step 5: Solve for x
    x = 37,521,627,025/121,642
  6. Step 6: Final answer
    x = 308,459.47

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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.