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Finding the Third Proportional to 135,092 and 312,740

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Solution

The third proportional to 135,092 and 312,740 is: 723,997.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,092 : 312,740 = 312,740 : x
  2. Step 2: Convert to fraction form
    135,092/312,740 = 312,740/x
  3. Step 3: Cross multiply
    135,092x = 312,740 × 312,740
  4. Step 4: Simplify right side
    135,092x = 97,806,307,600
  5. Step 5: Solve for x
    x = 97,806,307,600/135,092
  6. Step 6: Final answer
    x = 723,997.78

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.