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Finding the Third Proportional to 412.13 and 931.69

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Solution

The third proportional to 412.13 and 931.69 is: 2,106.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.13 : 931.69 = 931.69 : x
  2. Step 2: Convert to fraction form
    412.13/931.69 = 931.69/x
  3. Step 3: Cross multiply
    412.13x = 931.69 × 931.69
  4. Step 4: Simplify right side
    412.13x = 868,041.60
  5. Step 5: Solve for x
    x = 868,041.60/412.13
  6. Step 6: Final answer
    x = 2,106.26

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.