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Finding the Third Proportional to 34,485.12 and 52,729.10

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Solution

The third proportional to 34,485.12 and 52,729.10 is: 80,624.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,485.12 : 52,729.10 = 52,729.10 : x
  2. Step 2: Convert to fraction form
    34,485.12/52,729.10 = 52,729.10/x
  3. Step 3: Cross multiply
    34,485.12x = 52,729.10 × 52,729.10
  4. Step 4: Simplify right side
    34,485.12x = 2,780,358,151.59
  5. Step 5: Solve for x
    x = 2,780,358,151.59/34,485.12
  6. Step 6: Final answer
    x = 80,624.87

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.