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Finding the Third Proportional to 219,138 and 328,706

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Solution

The third proportional to 219,138 and 328,706 is: 493,057.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,138 : 328,706 = 328,706 : x
  2. Step 2: Convert to fraction form
    219,138/328,706 = 328,706/x
  3. Step 3: Cross multiply
    219,138x = 328,706 × 328,706
  4. Step 4: Simplify right side
    219,138x = 108,047,634,436
  5. Step 5: Solve for x
    x = 108,047,634,436/219,138
  6. Step 6: Final answer
    x = 493,057.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.