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Finding the Third Proportional to 620.43 and 916.23

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Solution

The third proportional to 620.43 and 916.23 is: 1,353.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.43 : 916.23 = 916.23 : x
  2. Step 2: Convert to fraction form
    620.43/916.23 = 916.23/x
  3. Step 3: Cross multiply
    620.43x = 916.23 × 916.23
  4. Step 4: Simplify right side
    620.43x = 839,483.64
  5. Step 5: Solve for x
    x = 839,483.64/620.43
  6. Step 6: Final answer
    x = 1,353.06

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.