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Finding the Third Proportional to 285.61 and 445.08

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Solution

The third proportional to 285.61 and 445.08 is: 693.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.61 : 445.08 = 445.08 : x
  2. Step 2: Convert to fraction form
    285.61/445.08 = 445.08/x
  3. Step 3: Cross multiply
    285.61x = 445.08 × 445.08
  4. Step 4: Simplify right side
    285.61x = 198,094.54
  5. Step 5: Solve for x
    x = 198,094.54/285.61
  6. Step 6: Final answer
    x = 693.59

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.