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Finding the Third Proportional to 128,645 and 197,960

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Solution

The third proportional to 128,645 and 197,960 is: 304,622.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,645 : 197,960 = 197,960 : x
  2. Step 2: Convert to fraction form
    128,645/197,960 = 197,960/x
  3. Step 3: Cross multiply
    128,645x = 197,960 × 197,960
  4. Step 4: Simplify right side
    128,645x = 39,188,161,600
  5. Step 5: Solve for x
    x = 39,188,161,600/128,645
  6. Step 6: Final answer
    x = 304,622.50

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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.