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Finding the Third Proportional to 612.75 and 949.38

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Solution

The third proportional to 612.75 and 949.38 is: 1,470.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.75 : 949.38 = 949.38 : x
  2. Step 2: Convert to fraction form
    612.75/949.38 = 949.38/x
  3. Step 3: Cross multiply
    612.75x = 949.38 × 949.38
  4. Step 4: Simplify right side
    612.75x = 901,312.89
  5. Step 5: Solve for x
    x = 901,312.89/612.75
  6. Step 6: Final answer
    x = 1,470.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.