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Finding the Third Proportional to 628.69 and 980.95

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Solution

The third proportional to 628.69 and 980.95 is: 1,530.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.69 : 980.95 = 980.95 : x
  2. Step 2: Convert to fraction form
    628.69/980.95 = 980.95/x
  3. Step 3: Cross multiply
    628.69x = 980.95 × 980.95
  4. Step 4: Simplify right side
    628.69x = 962,269.03
  5. Step 5: Solve for x
    x = 962,269.03/628.69
  6. Step 6: Final answer
    x = 1,530.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.