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Finding the Third Proportional to 76,444.50 and 112,419.75

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Solution

The third proportional to 76,444.50 and 112,419.75 is: 165,325.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,444.50 : 112,419.75 = 112,419.75 : x
  2. Step 2: Convert to fraction form
    76,444.50/112,419.75 = 112,419.75/x
  3. Step 3: Cross multiply
    76,444.50x = 112,419.75 × 112,419.75
  4. Step 4: Simplify right side
    76,444.50x = 12,638,200,190.06
  5. Step 5: Solve for x
    x = 12,638,200,190.06/76,444.50
  6. Step 6: Final answer
    x = 165,325.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.