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Finding the Third Proportional to 140,340 and 219,898.50

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Solution

The third proportional to 140,340 and 219,898.50 is: 344,558.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,340 : 219,898.50 = 219,898.50 : x
  2. Step 2: Convert to fraction form
    140,340/219,898.50 = 219,898.50/x
  3. Step 3: Cross multiply
    140,340x = 219,898.50 × 219,898.50
  4. Step 4: Simplify right side
    140,340x = 48,355,350,302.25
  5. Step 5: Solve for x
    x = 48,355,350,302.25/140,340
  6. Step 6: Final answer
    x = 344,558.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.