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Finding the Third Proportional to 128,342 and 197,525

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Solution

The third proportional to 128,342 and 197,525 is: 304,001.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,342 : 197,525 = 197,525 : x
  2. Step 2: Convert to fraction form
    128,342/197,525 = 197,525/x
  3. Step 3: Cross multiply
    128,342x = 197,525 × 197,525
  4. Step 4: Simplify right side
    128,342x = 39,016,125,625
  5. Step 5: Solve for x
    x = 39,016,125,625/128,342
  6. Step 6: Final answer
    x = 304,001.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.