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Finding the Third Proportional to 607.75 and 916.38

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Solution

The third proportional to 607.75 and 916.38 is: 1,381.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.75 : 916.38 = 916.38 : x
  2. Step 2: Convert to fraction form
    607.75/916.38 = 916.38/x
  3. Step 3: Cross multiply
    607.75x = 916.38 × 916.38
  4. Step 4: Simplify right side
    607.75x = 839,743.14
  5. Step 5: Solve for x
    x = 839,743.14/607.75
  6. Step 6: Final answer
    x = 1,381.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.