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Finding the Third Proportional to 141,747 and 219,318

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Solution

The third proportional to 141,747 and 219,318 is: 339,339.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,747 : 219,318 = 219,318 : x
  2. Step 2: Convert to fraction form
    141,747/219,318 = 219,318/x
  3. Step 3: Cross multiply
    141,747x = 219,318 × 219,318
  4. Step 4: Simplify right side
    141,747x = 48,100,385,124
  5. Step 5: Solve for x
    x = 48,100,385,124/141,747
  6. Step 6: Final answer
    x = 339,339.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.