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Finding the Third Proportional to 118,820 and 172,882

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Solution

The third proportional to 118,820 and 172,882 is: 251,541.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,820 : 172,882 = 172,882 : x
  2. Step 2: Convert to fraction form
    118,820/172,882 = 172,882/x
  3. Step 3: Cross multiply
    118,820x = 172,882 × 172,882
  4. Step 4: Simplify right side
    118,820x = 29,888,185,924
  5. Step 5: Solve for x
    x = 29,888,185,924/118,820
  6. Step 6: Final answer
    x = 251,541.71

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.