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Finding the Third Proportional to 58,500 and 128,952

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Solution

The third proportional to 58,500 and 128,952 is: 284,249.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,500 : 128,952 = 128,952 : x
  2. Step 2: Convert to fraction form
    58,500/128,952 = 128,952/x
  3. Step 3: Cross multiply
    58,500x = 128,952 × 128,952
  4. Step 4: Simplify right side
    58,500x = 16,628,618,304
  5. Step 5: Solve for x
    x = 16,628,618,304/58,500
  6. Step 6: Final answer
    x = 284,249.89

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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.