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Finding the Third Proportional to 140,535 and 331,740

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Solution

The third proportional to 140,535 and 331,740 is: 783,089.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,535 : 331,740 = 331,740 : x
  2. Step 2: Convert to fraction form
    140,535/331,740 = 331,740/x
  3. Step 3: Cross multiply
    140,535x = 331,740 × 331,740
  4. Step 4: Simplify right side
    140,535x = 110,051,427,600
  5. Step 5: Solve for x
    x = 110,051,427,600/140,535
  6. Step 6: Final answer
    x = 783,089.11

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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.