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Finding the Third Proportional to 671.75 and 977.75

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Solution

The third proportional to 671.75 and 977.75 is: 1,423.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.75 : 977.75 = 977.75 : x
  2. Step 2: Convert to fraction form
    671.75/977.75 = 977.75/x
  3. Step 3: Cross multiply
    671.75x = 977.75 × 977.75
  4. Step 4: Simplify right side
    671.75x = 955,995.06
  5. Step 5: Solve for x
    x = 955,995.06/671.75
  6. Step 6: Final answer
    x = 1,423.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.