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Finding the Third Proportional to 485.81 and 765.94

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Solution

The third proportional to 485.81 and 765.94 is: 1,207.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.81 : 765.94 = 765.94 : x
  2. Step 2: Convert to fraction form
    485.81/765.94 = 765.94/x
  3. Step 3: Cross multiply
    485.81x = 765.94 × 765.94
  4. Step 4: Simplify right side
    485.81x = 586,660.25
  5. Step 5: Solve for x
    x = 586,660.25/485.81
  6. Step 6: Final answer
    x = 1,207.59

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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.