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Finding the Third Proportional to 314.94 and 486.06

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Solution

The third proportional to 314.94 and 486.06 is: 750.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.94 : 486.06 = 486.06 : x
  2. Step 2: Convert to fraction form
    314.94/486.06 = 486.06/x
  3. Step 3: Cross multiply
    314.94x = 486.06 × 486.06
  4. Step 4: Simplify right side
    314.94x = 236,256.75
  5. Step 5: Solve for x
    x = 236,256.75/314.94
  6. Step 6: Final answer
    x = 750.17

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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.