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Finding the Third Proportional to 670.64 and 1,002.09

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Solution

The third proportional to 670.64 and 1,002.09 is: 1,497.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.64 : 1,002.09 = 1,002.09 : x
  2. Step 2: Convert to fraction form
    670.64/1,002.09 = 1,002.09/x
  3. Step 3: Cross multiply
    670.64x = 1,002.09 × 1,002.09
  4. Step 4: Simplify right side
    670.64x = 1,004,191.88
  5. Step 5: Solve for x
    x = 1,004,191.88/670.64
  6. Step 6: Final answer
    x = 1,497.36

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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.