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Finding the Third Proportional to 74,742.50 and 100,693.75

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Solution

The third proportional to 74,742.50 and 100,693.75 is: 135,655.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,742.50 : 100,693.75 = 100,693.75 : x
  2. Step 2: Convert to fraction form
    74,742.50/100,693.75 = 100,693.75/x
  3. Step 3: Cross multiply
    74,742.50x = 100,693.75 × 100,693.75
  4. Step 4: Simplify right side
    74,742.50x = 10,139,231,289.06
  5. Step 5: Solve for x
    x = 10,139,231,289.06/74,742.50
  6. Step 6: Final answer
    x = 135,655.50

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.