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Finding the Third Proportional to 285.66 and 591.56

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Solution

The third proportional to 285.66 and 591.56 is: 1,225.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.66 : 591.56 = 591.56 : x
  2. Step 2: Convert to fraction form
    285.66/591.56 = 591.56/x
  3. Step 3: Cross multiply
    285.66x = 591.56 × 591.56
  4. Step 4: Simplify right side
    285.66x = 349,946.19
  5. Step 5: Solve for x
    x = 349,946.19/285.66
  6. Step 6: Final answer
    x = 1,225.06

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.