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Finding the Third Proportional to 55,927 and 86,405

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Solution

The third proportional to 55,927 and 86,405 is: 133,492.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,927 : 86,405 = 86,405 : x
  2. Step 2: Convert to fraction form
    55,927/86,405 = 86,405/x
  3. Step 3: Cross multiply
    55,927x = 86,405 × 86,405
  4. Step 4: Simplify right side
    55,927x = 7,465,824,025
  5. Step 5: Solve for x
    x = 7,465,824,025/55,927
  6. Step 6: Final answer
    x = 133,492.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.