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Finding the Third Proportional to 448.66 and 655.91

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Solution

The third proportional to 448.66 and 655.91 is: 958.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.66 : 655.91 = 655.91 : x
  2. Step 2: Convert to fraction form
    448.66/655.91 = 655.91/x
  3. Step 3: Cross multiply
    448.66x = 655.91 × 655.91
  4. Step 4: Simplify right side
    448.66x = 430,218.13
  5. Step 5: Solve for x
    x = 430,218.13/448.66
  6. Step 6: Final answer
    x = 958.89

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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.