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Finding the Third Proportional to 81,536 and 176,128

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Solution

The third proportional to 81,536 and 176,128 is: 380,458.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,536 : 176,128 = 176,128 : x
  2. Step 2: Convert to fraction form
    81,536/176,128 = 176,128/x
  3. Step 3: Cross multiply
    81,536x = 176,128 × 176,128
  4. Step 4: Simplify right side
    81,536x = 31,021,072,384
  5. Step 5: Solve for x
    x = 31,021,072,384/81,536
  6. Step 6: Final answer
    x = 380,458.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.