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Finding the Third Proportional to 128,580 and 197,760

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Solution

The third proportional to 128,580 and 197,760 is: 304,160.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,580 : 197,760 = 197,760 : x
  2. Step 2: Convert to fraction form
    128,580/197,760 = 197,760/x
  3. Step 3: Cross multiply
    128,580x = 197,760 × 197,760
  4. Step 4: Simplify right side
    128,580x = 39,109,017,600
  5. Step 5: Solve for x
    x = 39,109,017,600/128,580
  6. Step 6: Final answer
    x = 304,160.97

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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.