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Finding the Third Proportional to 285.27 and 615.01

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Solution

The third proportional to 285.27 and 615.01 is: 1,325.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.27 : 615.01 = 615.01 : x
  2. Step 2: Convert to fraction form
    285.27/615.01 = 615.01/x
  3. Step 3: Cross multiply
    285.27x = 615.01 × 615.01
  4. Step 4: Simplify right side
    285.27x = 378,243.02
  5. Step 5: Solve for x
    x = 378,243.02/285.27
  6. Step 6: Final answer
    x = 1,325.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.