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Finding the Third Proportional to 103,015.13 and 154,419.75

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Solution

The third proportional to 103,015.13 and 154,419.75 is: 231,475.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,015.13 : 154,419.75 = 154,419.75 : x
  2. Step 2: Convert to fraction form
    103,015.13/154,419.75 = 154,419.75/x
  3. Step 3: Cross multiply
    103,015.13x = 154,419.75 × 154,419.75
  4. Step 4: Simplify right side
    103,015.13x = 23,845,459,190.06
  5. Step 5: Solve for x
    x = 23,845,459,190.06/103,015.13
  6. Step 6: Final answer
    x = 231,475.32

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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.