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Finding the Third Proportional to 128,996 and 195,440

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Solution

The third proportional to 128,996 and 195,440 is: 296,108.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,996 : 195,440 = 195,440 : x
  2. Step 2: Convert to fraction form
    128,996/195,440 = 195,440/x
  3. Step 3: Cross multiply
    128,996x = 195,440 × 195,440
  4. Step 4: Simplify right side
    128,996x = 38,196,793,600
  5. Step 5: Solve for x
    x = 38,196,793,600/128,996
  6. Step 6: Final answer
    x = 296,108.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.