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Finding the Third Proportional to 916.56 and 2,161.44

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Solution

The third proportional to 916.56 and 2,161.44 is: 5,097.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.56 : 2,161.44 = 2,161.44 : x
  2. Step 2: Convert to fraction form
    916.56/2,161.44 = 2,161.44/x
  3. Step 3: Cross multiply
    916.56x = 2,161.44 × 2,161.44
  4. Step 4: Simplify right side
    916.56x = 4,671,812.07
  5. Step 5: Solve for x
    x = 4,671,812.07/916.56
  6. Step 6: Final answer
    x = 5,097.10

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.