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Finding the Third Proportional to 682.31 and 770.06

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Solution

The third proportional to 682.31 and 770.06 is: 869.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.31 : 770.06 = 770.06 : x
  2. Step 2: Convert to fraction form
    682.31/770.06 = 770.06/x
  3. Step 3: Cross multiply
    682.31x = 770.06 × 770.06
  4. Step 4: Simplify right side
    682.31x = 592,996.25
  5. Step 5: Solve for x
    x = 592,996.25/682.31
  6. Step 6: Final answer
    x = 869.10

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.