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Finding the Third Proportional to 27,807 and 61,155

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Solution

The third proportional to 27,807 and 61,155 is: 134,496.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,807 : 61,155 = 61,155 : x
  2. Step 2: Convert to fraction form
    27,807/61,155 = 61,155/x
  3. Step 3: Cross multiply
    27,807x = 61,155 × 61,155
  4. Step 4: Simplify right side
    27,807x = 3,739,934,025
  5. Step 5: Solve for x
    x = 3,739,934,025/27,807
  6. Step 6: Final answer
    x = 134,496.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.