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Finding the Third Proportional to 30,891.38 and 72,000.14

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Solution

The third proportional to 30,891.38 and 72,000.14 is: 167,814.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,891.38 : 72,000.14 = 72,000.14 : x
  2. Step 2: Convert to fraction form
    30,891.38/72,000.14 = 72,000.14/x
  3. Step 3: Cross multiply
    30,891.38x = 72,000.14 × 72,000.14
  4. Step 4: Simplify right side
    30,891.38x = 5,184,020,250.02
  5. Step 5: Solve for x
    x = 5,184,020,250.02/30,891.38
  6. Step 6: Final answer
    x = 167,814.49

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.