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Finding the Third Proportional to 142,384.50 and 211,383

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Solution

The third proportional to 142,384.50 and 211,383 is: 313,817.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,384.50 : 211,383 = 211,383 : x
  2. Step 2: Convert to fraction form
    142,384.50/211,383 = 211,383/x
  3. Step 3: Cross multiply
    142,384.50x = 211,383 × 211,383
  4. Step 4: Simplify right side
    142,384.50x = 44,682,772,689
  5. Step 5: Solve for x
    x = 44,682,772,689/142,384.50
  6. Step 6: Final answer
    x = 313,817.67

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.