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Finding the Third Proportional to 4,312 and 7,089

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Solution

The third proportional to 4,312 and 7,089 is: 11,654.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,312 : 7,089 = 7,089 : x
  2. Step 2: Convert to fraction form
    4,312/7,089 = 7,089/x
  3. Step 3: Cross multiply
    4,312x = 7,089 × 7,089
  4. Step 4: Simplify right side
    4,312x = 50,253,921
  5. Step 5: Solve for x
    x = 50,253,921/4,312
  6. Step 6: Final answer
    x = 11,654.43

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.