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Finding the Third Proportional to 285.19 and 600.19

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Solution

The third proportional to 285.19 and 600.19 is: 1,263.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.19 : 600.19 = 600.19 : x
  2. Step 2: Convert to fraction form
    285.19/600.19 = 600.19/x
  3. Step 3: Cross multiply
    285.19x = 600.19 × 600.19
  4. Step 4: Simplify right side
    285.19x = 360,225.04
  5. Step 5: Solve for x
    x = 360,225.04/285.19
  6. Step 6: Final answer
    x = 1,263.12

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.