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Finding the Third Proportional to 656.81 and 935.91

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Solution

The third proportional to 656.81 and 935.91 is: 1,333.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.81 : 935.91 = 935.91 : x
  2. Step 2: Convert to fraction form
    656.81/935.91 = 935.91/x
  3. Step 3: Cross multiply
    656.81x = 935.91 × 935.91
  4. Step 4: Simplify right side
    656.81x = 875,920.51
  5. Step 5: Solve for x
    x = 875,920.51/656.81
  6. Step 6: Final answer
    x = 1,333.59

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.