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Finding the Third Proportional to 285.56 and 578.06

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Solution

The third proportional to 285.56 and 578.06 is: 1,170.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.56 : 578.06 = 578.06 : x
  2. Step 2: Convert to fraction form
    285.56/578.06 = 578.06/x
  3. Step 3: Cross multiply
    285.56x = 578.06 × 578.06
  4. Step 4: Simplify right side
    285.56x = 334,156.25
  5. Step 5: Solve for x
    x = 334,156.25/285.56
  6. Step 6: Final answer
    x = 1,170.17

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.