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Finding the Third Proportional to 324.56 and 770.06

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Solution

The third proportional to 324.56 and 770.06 is: 1,827.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.56 : 770.06 = 770.06 : x
  2. Step 2: Convert to fraction form
    324.56/770.06 = 770.06/x
  3. Step 3: Cross multiply
    324.56x = 770.06 × 770.06
  4. Step 4: Simplify right side
    324.56x = 592,996.25
  5. Step 5: Solve for x
    x = 592,996.25/324.56
  6. Step 6: Final answer
    x = 1,827.06

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.