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Finding the Third Proportional to 81,330 and 173,028

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Solution

The third proportional to 81,330 and 173,028 is: 368,113.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,330 : 173,028 = 173,028 : x
  2. Step 2: Convert to fraction form
    81,330/173,028 = 173,028/x
  3. Step 3: Cross multiply
    81,330x = 173,028 × 173,028
  4. Step 4: Simplify right side
    81,330x = 29,938,688,784
  5. Step 5: Solve for x
    x = 29,938,688,784/81,330
  6. Step 6: Final answer
    x = 368,113.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.