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Finding the Third Proportional to 360.09 and 486.51

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Solution

The third proportional to 360.09 and 486.51 is: 657.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.09 : 486.51 = 486.51 : x
  2. Step 2: Convert to fraction form
    360.09/486.51 = 486.51/x
  3. Step 3: Cross multiply
    360.09x = 486.51 × 486.51
  4. Step 4: Simplify right side
    360.09x = 236,689.61
  5. Step 5: Solve for x
    x = 236,689.61/360.09
  6. Step 6: Final answer
    x = 657.31

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.