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Finding the Third Proportional to 58.04 and 128.90

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Solution

The third proportional to 58.04 and 128.90 is: 286.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.04 : 128.90 = 128.90 : x
  2. Step 2: Convert to fraction form
    58.04/128.90 = 128.90/x
  3. Step 3: Cross multiply
    58.04x = 128.90 × 128.90
  4. Step 4: Simplify right side
    58.04x = 16,615.31
  5. Step 5: Solve for x
    x = 16,615.31/58.04
  6. Step 6: Final answer
    x = 286.26

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.