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Finding the Third Proportional to 128,970 and 144,962

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Solution

The third proportional to 128,970 and 144,962 is: 162,936.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,970 : 144,962 = 144,962 : x
  2. Step 2: Convert to fraction form
    128,970/144,962 = 144,962/x
  3. Step 3: Cross multiply
    128,970x = 144,962 × 144,962
  4. Step 4: Simplify right side
    128,970x = 21,013,981,444
  5. Step 5: Solve for x
    x = 21,013,981,444/128,970
  6. Step 6: Final answer
    x = 162,936.97

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.