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Finding the Third Proportional to 39,148 and 83,155

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Solution

The third proportional to 39,148 and 83,155 is: 176,631.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,148 : 83,155 = 83,155 : x
  2. Step 2: Convert to fraction form
    39,148/83,155 = 83,155/x
  3. Step 3: Cross multiply
    39,148x = 83,155 × 83,155
  4. Step 4: Simplify right side
    39,148x = 6,914,754,025
  5. Step 5: Solve for x
    x = 6,914,754,025/39,148
  6. Step 6: Final answer
    x = 176,631.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.