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Finding the Third Proportional to 511.88 and 581.06

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Solution

The third proportional to 511.88 and 581.06 is: 659.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.88 : 581.06 = 581.06 : x
  2. Step 2: Convert to fraction form
    511.88/581.06 = 581.06/x
  3. Step 3: Cross multiply
    511.88x = 581.06 × 581.06
  4. Step 4: Simplify right side
    511.88x = 337,633.63
  5. Step 5: Solve for x
    x = 337,633.63/511.88
  6. Step 6: Final answer
    x = 659.60

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.