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Finding the Third Proportional to 57,438 and 128,908

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Solution

The third proportional to 57,438 and 128,908 is: 289,307.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,438 : 128,908 = 128,908 : x
  2. Step 2: Convert to fraction form
    57,438/128,908 = 128,908/x
  3. Step 3: Cross multiply
    57,438x = 128,908 × 128,908
  4. Step 4: Simplify right side
    57,438x = 16,617,272,464
  5. Step 5: Solve for x
    x = 16,617,272,464/57,438
  6. Step 6: Final answer
    x = 289,307.99

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.