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Finding the Third Proportional to 345.15 and 525.76

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Solution

The third proportional to 345.15 and 525.76 is: 800.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.15 : 525.76 = 525.76 : x
  2. Step 2: Convert to fraction form
    345.15/525.76 = 525.76/x
  3. Step 3: Cross multiply
    345.15x = 525.76 × 525.76
  4. Step 4: Simplify right side
    345.15x = 276,425.38
  5. Step 5: Solve for x
    x = 276,425.38/345.15
  6. Step 6: Final answer
    x = 800.89

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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.