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Finding the Third Proportional to 30,910.50 and 59,358.38

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Solution

The third proportional to 30,910.50 and 59,358.38 is: 113,987.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,910.50 : 59,358.38 = 59,358.38 : x
  2. Step 2: Convert to fraction form
    30,910.50/59,358.38 = 59,358.38/x
  3. Step 3: Cross multiply
    30,910.50x = 59,358.38 × 59,358.38
  4. Step 4: Simplify right side
    30,910.50x = 3,523,416,682.64
  5. Step 5: Solve for x
    x = 3,523,416,682.64/30,910.50
  6. Step 6: Final answer
    x = 113,987.70

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These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.