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Finding the Third Proportional to 140,506 and 331,672

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Solution

The third proportional to 140,506 and 331,672 is: 782,929.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,506 : 331,672 = 331,672 : x
  2. Step 2: Convert to fraction form
    140,506/331,672 = 331,672/x
  3. Step 3: Cross multiply
    140,506x = 331,672 × 331,672
  4. Step 4: Simplify right side
    140,506x = 110,006,315,584
  5. Step 5: Solve for x
    x = 110,006,315,584/140,506
  6. Step 6: Final answer
    x = 782,929.67

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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.