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Finding the Third Proportional to 307.38 and 486.94

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Solution

The third proportional to 307.38 and 486.94 is: 771.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.38 : 486.94 = 486.94 : x
  2. Step 2: Convert to fraction form
    307.38/486.94 = 486.94/x
  3. Step 3: Cross multiply
    307.38x = 486.94 × 486.94
  4. Step 4: Simplify right side
    307.38x = 237,108.13
  5. Step 5: Solve for x
    x = 237,108.13/307.38
  6. Step 6: Final answer
    x = 771.40

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.