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Finding the Third Proportional to 661.69 and 1,421.06

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Solution

The third proportional to 661.69 and 1,421.06 is: 3,051.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.69 : 1,421.06 = 1,421.06 : x
  2. Step 2: Convert to fraction form
    661.69/1,421.06 = 1,421.06/x
  3. Step 3: Cross multiply
    661.69x = 1,421.06 × 1,421.06
  4. Step 4: Simplify right side
    661.69x = 2,019,418.63
  5. Step 5: Solve for x
    x = 2,019,418.63/661.69
  6. Step 6: Final answer
    x = 3,051.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.