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Finding the Third Proportional to 612.98 and 1,302.54

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Solution

The third proportional to 612.98 and 1,302.54 is: 2,767.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.98 : 1,302.54 = 1,302.54 : x
  2. Step 2: Convert to fraction form
    612.98/1,302.54 = 1,302.54/x
  3. Step 3: Cross multiply
    612.98x = 1,302.54 × 1,302.54
  4. Step 4: Simplify right side
    612.98x = 1,696,608.01
  5. Step 5: Solve for x
    x = 1,696,608.01/612.98
  6. Step 6: Final answer
    x = 2,767.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.