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Finding the Third Proportional to 128,131 and 195,355

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Solution

The third proportional to 128,131 and 195,355 is: 297,848.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,131 : 195,355 = 195,355 : x
  2. Step 2: Convert to fraction form
    128,131/195,355 = 195,355/x
  3. Step 3: Cross multiply
    128,131x = 195,355 × 195,355
  4. Step 4: Simplify right side
    128,131x = 38,163,576,025
  5. Step 5: Solve for x
    x = 38,163,576,025/128,131
  6. Step 6: Final answer
    x = 297,848.11

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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.