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Finding the Third Proportional to 128,969 and 144,961

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Solution

The third proportional to 128,969 and 144,961 is: 162,935.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,969 : 144,961 = 144,961 : x
  2. Step 2: Convert to fraction form
    128,969/144,961 = 144,961/x
  3. Step 3: Cross multiply
    128,969x = 144,961 × 144,961
  4. Step 4: Simplify right side
    128,969x = 21,013,691,521
  5. Step 5: Solve for x
    x = 21,013,691,521/128,969
  6. Step 6: Final answer
    x = 162,935.99

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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.