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Finding the Third Proportional to 54,650 and 128,957

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Solution

The third proportional to 54,650 and 128,957 is: 304,298.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,650 : 128,957 = 128,957 : x
  2. Step 2: Convert to fraction form
    54,650/128,957 = 128,957/x
  3. Step 3: Cross multiply
    54,650x = 128,957 × 128,957
  4. Step 4: Simplify right side
    54,650x = 16,629,907,849
  5. Step 5: Solve for x
    x = 16,629,907,849/54,650
  6. Step 6: Final answer
    x = 304,298.41

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.