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Finding the Third Proportional to 431.81 and 916.03

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Solution

The third proportional to 431.81 and 916.03 is: 1,943.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.81 : 916.03 = 916.03 : x
  2. Step 2: Convert to fraction form
    431.81/916.03 = 916.03/x
  3. Step 3: Cross multiply
    431.81x = 916.03 × 916.03
  4. Step 4: Simplify right side
    431.81x = 839,113.25
  5. Step 5: Solve for x
    x = 839,113.25/431.81
  6. Step 6: Final answer
    x = 1,943.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.