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Finding the Third Proportional to 431 and 931

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Solution

The third proportional to 431 and 931 is: 2,011.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    431 : 931 = 931 : x
  2. Step 2: Convert to fraction form
    431/931 = 931/x
  3. Step 3: Cross multiply
    431x = 931 × 931
  4. Step 4: Simplify right side
    431x = 866,761
  5. Step 5: Solve for x
    x = 866,761/431
  6. Step 6: Final answer
    x = 2,011.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.