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Finding the Third Proportional to 43,196 and 70,535.50

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Solution

The third proportional to 43,196 and 70,535.50 is: 115,178.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,196 : 70,535.50 = 70,535.50 : x
  2. Step 2: Convert to fraction form
    43,196/70,535.50 = 70,535.50/x
  3. Step 3: Cross multiply
    43,196x = 70,535.50 × 70,535.50
  4. Step 4: Simplify right side
    43,196x = 4,975,256,760.25
  5. Step 5: Solve for x
    x = 4,975,256,760.25/43,196
  6. Step 6: Final answer
    x = 115,178.65

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.