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Finding the Third Proportional to 431.81 and 901.03

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Solution

The third proportional to 431.81 and 901.03 is: 1,880.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.81 : 901.03 = 901.03 : x
  2. Step 2: Convert to fraction form
    431.81/901.03 = 901.03/x
  3. Step 3: Cross multiply
    431.81x = 901.03 × 901.03
  4. Step 4: Simplify right side
    431.81x = 811,857.31
  5. Step 5: Solve for x
    x = 811,857.31/431.81
  6. Step 6: Final answer
    x = 1,880.12

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.