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Finding the Third Proportional to 128,640 and 197,952

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Solution

The third proportional to 128,640 and 197,952 is: 304,609.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,640 : 197,952 = 197,952 : x
  2. Step 2: Convert to fraction form
    128,640/197,952 = 197,952/x
  3. Step 3: Cross multiply
    128,640x = 197,952 × 197,952
  4. Step 4: Simplify right side
    128,640x = 39,184,994,304
  5. Step 5: Solve for x
    x = 39,184,994,304/128,640
  6. Step 6: Final answer
    x = 304,609.72

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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.