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Finding the Third Proportional to 128,882 and 197,175

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Solution

The third proportional to 128,882 and 197,175 is: 301,655.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,882 : 197,175 = 197,175 : x
  2. Step 2: Convert to fraction form
    128,882/197,175 = 197,175/x
  3. Step 3: Cross multiply
    128,882x = 197,175 × 197,175
  4. Step 4: Simplify right side
    128,882x = 38,877,980,625
  5. Step 5: Solve for x
    x = 38,877,980,625/128,882
  6. Step 6: Final answer
    x = 301,655.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.