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Finding the Third Proportional to 142,520.50 and 309,683

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Solution

The third proportional to 142,520.50 and 309,683 is: 672,910.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,520.50 : 309,683 = 309,683 : x
  2. Step 2: Convert to fraction form
    142,520.50/309,683 = 309,683/x
  3. Step 3: Cross multiply
    142,520.50x = 309,683 × 309,683
  4. Step 4: Simplify right side
    142,520.50x = 95,903,560,489
  5. Step 5: Solve for x
    x = 95,903,560,489/142,520.50
  6. Step 6: Final answer
    x = 672,910.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.