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Finding the Third Proportional to 75,015 and 105,500.25

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Solution

The third proportional to 75,015 and 105,500.25 is: 148,374.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,015 : 105,500.25 = 105,500.25 : x
  2. Step 2: Convert to fraction form
    75,015/105,500.25 = 105,500.25/x
  3. Step 3: Cross multiply
    75,015x = 105,500.25 × 105,500.25
  4. Step 4: Simplify right side
    75,015x = 11,130,302,750.06
  5. Step 5: Solve for x
    x = 11,130,302,750.06/75,015
  6. Step 6: Final answer
    x = 148,374.36

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.