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Finding the Third Proportional to 43,033 and 93,215

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Solution

The third proportional to 43,033 and 93,215 is: 201,915.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,033 : 93,215 = 93,215 : x
  2. Step 2: Convert to fraction form
    43,033/93,215 = 93,215/x
  3. Step 3: Cross multiply
    43,033x = 93,215 × 93,215
  4. Step 4: Simplify right side
    43,033x = 8,689,036,225
  5. Step 5: Solve for x
    x = 8,689,036,225/43,033
  6. Step 6: Final answer
    x = 201,915.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.