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Finding the Third Proportional to 121,342 and 171,752

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Solution

The third proportional to 121,342 and 171,752 is: 243,104.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,342 : 171,752 = 171,752 : x
  2. Step 2: Convert to fraction form
    121,342/171,752 = 171,752/x
  3. Step 3: Cross multiply
    121,342x = 171,752 × 171,752
  4. Step 4: Simplify right side
    121,342x = 29,498,749,504
  5. Step 5: Solve for x
    x = 29,498,749,504/121,342
  6. Step 6: Final answer
    x = 243,104.20

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.