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Finding the Third Proportional to 43,561 and 61,345

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Solution

The third proportional to 43,561 and 61,345 is: 86,389.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,561 : 61,345 = 61,345 : x
  2. Step 2: Convert to fraction form
    43,561/61,345 = 61,345/x
  3. Step 3: Cross multiply
    43,561x = 61,345 × 61,345
  4. Step 4: Simplify right side
    43,561x = 3,763,209,025
  5. Step 5: Solve for x
    x = 3,763,209,025/43,561
  6. Step 6: Final answer
    x = 86,389.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.