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Finding the Third Proportional to 82,388 and 176,440

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Solution

The third proportional to 82,388 and 176,440 is: 377,859.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,388 : 176,440 = 176,440 : x
  2. Step 2: Convert to fraction form
    82,388/176,440 = 176,440/x
  3. Step 3: Cross multiply
    82,388x = 176,440 × 176,440
  4. Step 4: Simplify right side
    82,388x = 31,131,073,600
  5. Step 5: Solve for x
    x = 31,131,073,600/82,388
  6. Step 6: Final answer
    x = 377,859.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.