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Finding the Third Proportional to 100,459 and 151,989

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Solution

The third proportional to 100,459 and 151,989 is: 229,951.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,459 : 151,989 = 151,989 : x
  2. Step 2: Convert to fraction form
    100,459/151,989 = 151,989/x
  3. Step 3: Cross multiply
    100,459x = 151,989 × 151,989
  4. Step 4: Simplify right side
    100,459x = 23,100,656,121
  5. Step 5: Solve for x
    x = 23,100,656,121/100,459
  6. Step 6: Final answer
    x = 229,951.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.