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Finding the Third Proportional to 120,896 and 177,656

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Solution

The third proportional to 120,896 and 177,656 is: 261,064.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,896 : 177,656 = 177,656 : x
  2. Step 2: Convert to fraction form
    120,896/177,656 = 177,656/x
  3. Step 3: Cross multiply
    120,896x = 177,656 × 177,656
  4. Step 4: Simplify right side
    120,896x = 31,561,654,336
  5. Step 5: Solve for x
    x = 31,561,654,336/120,896
  6. Step 6: Final answer
    x = 261,064.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.