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Finding the Third Proportional to 71,033 and 110,284.50

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Solution

The third proportional to 71,033 and 110,284.50 is: 171,225.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,033 : 110,284.50 = 110,284.50 : x
  2. Step 2: Convert to fraction form
    71,033/110,284.50 = 110,284.50/x
  3. Step 3: Cross multiply
    71,033x = 110,284.50 × 110,284.50
  4. Step 4: Simplify right side
    71,033x = 12,162,670,940.25
  5. Step 5: Solve for x
    x = 12,162,670,940.25/71,033
  6. Step 6: Final answer
    x = 171,225.64

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.