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Finding the Third Proportional to 665.81 and 1,354.13

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Solution

The third proportional to 665.81 and 1,354.13 is: 2,754.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.81 : 1,354.13 = 1,354.13 : x
  2. Step 2: Convert to fraction form
    665.81/1,354.13 = 1,354.13/x
  3. Step 3: Cross multiply
    665.81x = 1,354.13 × 1,354.13
  4. Step 4: Simplify right side
    665.81x = 1,833,654.52
  5. Step 5: Solve for x
    x = 1,833,654.52/665.81
  6. Step 6: Final answer
    x = 2,754.01

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.