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Finding the Third Proportional to 673.22 and 987.66

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Solution

The third proportional to 673.22 and 987.66 is: 1,448.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.22 : 987.66 = 987.66 : x
  2. Step 2: Convert to fraction form
    673.22/987.66 = 987.66/x
  3. Step 3: Cross multiply
    673.22x = 987.66 × 987.66
  4. Step 4: Simplify right side
    673.22x = 975,464.87
  5. Step 5: Solve for x
    x = 975,464.87/673.22
  6. Step 6: Final answer
    x = 1,448.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.