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Finding the Third Proportional to 43,575 and 72,015

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Solution

The third proportional to 43,575 and 72,015 is: 119,016.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,575 : 72,015 = 72,015 : x
  2. Step 2: Convert to fraction form
    43,575/72,015 = 72,015/x
  3. Step 3: Cross multiply
    43,575x = 72,015 × 72,015
  4. Step 4: Simplify right side
    43,575x = 5,186,160,225
  5. Step 5: Solve for x
    x = 5,186,160,225/43,575
  6. Step 6: Final answer
    x = 119,016.87

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.