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Finding the Third Proportional to 55,576 and 128,548

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Solution

The third proportional to 55,576 and 128,548 is: 297,333.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,576 : 128,548 = 128,548 : x
  2. Step 2: Convert to fraction form
    55,576/128,548 = 128,548/x
  3. Step 3: Cross multiply
    55,576x = 128,548 × 128,548
  4. Step 4: Simplify right side
    55,576x = 16,524,588,304
  5. Step 5: Solve for x
    x = 16,524,588,304/55,576
  6. Step 6: Final answer
    x = 297,333.17

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.