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Finding the Third Proportional to 656.25 and 980.63

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Solution

The third proportional to 656.25 and 980.63 is: 1,465.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.25 : 980.63 = 980.63 : x
  2. Step 2: Convert to fraction form
    656.25/980.63 = 980.63/x
  3. Step 3: Cross multiply
    656.25x = 980.63 × 980.63
  4. Step 4: Simplify right side
    656.25x = 961,625.39
  5. Step 5: Solve for x
    x = 961,625.39/656.25
  6. Step 6: Final answer
    x = 1,465.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.