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Finding the Third Proportional to 260.16 and 392.06

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Solution

The third proportional to 260.16 and 392.06 is: 590.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.16 : 392.06 = 392.06 : x
  2. Step 2: Convert to fraction form
    260.16/392.06 = 392.06/x
  3. Step 3: Cross multiply
    260.16x = 392.06 × 392.06
  4. Step 4: Simplify right side
    260.16x = 153,713.00
  5. Step 5: Solve for x
    x = 153,713.00/260.16
  6. Step 6: Final answer
    x = 590.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.