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Finding the Third Proportional to 315.09 and 486.81

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Solution

The third proportional to 315.09 and 486.81 is: 752.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.09 : 486.81 = 486.81 : x
  2. Step 2: Convert to fraction form
    315.09/486.81 = 486.81/x
  3. Step 3: Cross multiply
    315.09x = 486.81 × 486.81
  4. Step 4: Simplify right side
    315.09x = 236,986.41
  5. Step 5: Solve for x
    x = 236,986.41/315.09
  6. Step 6: Final answer
    x = 752.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.