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Finding the Third Proportional to 448.13 and 656.81

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Solution

The third proportional to 448.13 and 656.81 is: 962.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.13 : 656.81 = 656.81 : x
  2. Step 2: Convert to fraction form
    448.13/656.81 = 656.81/x
  3. Step 3: Cross multiply
    448.13x = 656.81 × 656.81
  4. Step 4: Simplify right side
    448.13x = 431,402.66
  5. Step 5: Solve for x
    x = 431,402.66/448.13
  6. Step 6: Final answer
    x = 962.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.