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Finding the Third Proportional to 128,652 and 276,888

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Solution

The third proportional to 128,652 and 276,888 is: 595,925.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,652 : 276,888 = 276,888 : x
  2. Step 2: Convert to fraction form
    128,652/276,888 = 276,888/x
  3. Step 3: Cross multiply
    128,652x = 276,888 × 276,888
  4. Step 4: Simplify right side
    128,652x = 76,666,964,544
  5. Step 5: Solve for x
    x = 76,666,964,544/128,652
  6. Step 6: Final answer
    x = 595,925.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.