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Finding the Third Proportional to 58,656 and 128,977

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Solution

The third proportional to 58,656 and 128,977 is: 283,603.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,656 : 128,977 = 128,977 : x
  2. Step 2: Convert to fraction form
    58,656/128,977 = 128,977/x
  3. Step 3: Cross multiply
    58,656x = 128,977 × 128,977
  4. Step 4: Simplify right side
    58,656x = 16,635,066,529
  5. Step 5: Solve for x
    x = 16,635,066,529/58,656
  6. Step 6: Final answer
    x = 283,603.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.