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Finding the Third Proportional to 670.70 and 976.90

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Solution

The third proportional to 670.70 and 976.90 is: 1,422.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.70 : 976.90 = 976.90 : x
  2. Step 2: Convert to fraction form
    670.70/976.90 = 976.90/x
  3. Step 3: Cross multiply
    670.70x = 976.90 × 976.90
  4. Step 4: Simplify right side
    670.70x = 954,342.01
  5. Step 5: Solve for x
    x = 954,342.01/670.70
  6. Step 6: Final answer
    x = 1,422.90

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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.