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Finding the Third Proportional to 285.13 and 459.38

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Solution

The third proportional to 285.13 and 459.38 is: 740.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.13 : 459.38 = 459.38 : x
  2. Step 2: Convert to fraction form
    285.13/459.38 = 459.38/x
  3. Step 3: Cross multiply
    285.13x = 459.38 × 459.38
  4. Step 4: Simplify right side
    285.13x = 211,025.39
  5. Step 5: Solve for x
    x = 211,025.39/285.13
  6. Step 6: Final answer
    x = 740.12

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.