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Finding the Third Proportional to 102,980 and 151,129

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Solution

The third proportional to 102,980 and 151,129 is: 221,790.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,980 : 151,129 = 151,129 : x
  2. Step 2: Convert to fraction form
    102,980/151,129 = 151,129/x
  3. Step 3: Cross multiply
    102,980x = 151,129 × 151,129
  4. Step 4: Simplify right side
    102,980x = 22,839,974,641
  5. Step 5: Solve for x
    x = 22,839,974,641/102,980
  6. Step 6: Final answer
    x = 221,790.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.