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Finding the Third Proportional to 345.66 and 525.66

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Solution

The third proportional to 345.66 and 525.66 is: 799.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.66 : 525.66 = 525.66 : x
  2. Step 2: Convert to fraction form
    345.66/525.66 = 525.66/x
  3. Step 3: Cross multiply
    345.66x = 525.66 × 525.66
  4. Step 4: Simplify right side
    345.66x = 276,314.49
  5. Step 5: Solve for x
    x = 276,314.49/345.66
  6. Step 6: Final answer
    x = 799.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.