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Finding the Third Proportional to 101,043 and 151,564.50

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Solution

The third proportional to 101,043 and 151,564.50 is: 227,346.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,043 : 151,564.50 = 151,564.50 : x
  2. Step 2: Convert to fraction form
    101,043/151,564.50 = 151,564.50/x
  3. Step 3: Cross multiply
    101,043x = 151,564.50 × 151,564.50
  4. Step 4: Simplify right side
    101,043x = 22,971,797,660.25
  5. Step 5: Solve for x
    x = 22,971,797,660.25/101,043
  6. Step 6: Final answer
    x = 227,346.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.