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Finding the Third Proportional to 58.43 and 128.04

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Solution

The third proportional to 58.43 and 128.04 is: 280.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.43 : 128.04 = 128.04 : x
  2. Step 2: Convert to fraction form
    58.43/128.04 = 128.04/x
  3. Step 3: Cross multiply
    58.43x = 128.04 × 128.04
  4. Step 4: Simplify right side
    58.43x = 16,394.00
  5. Step 5: Solve for x
    x = 16,394.00/58.43
  6. Step 6: Final answer
    x = 280.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.