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Finding the Third Proportional to 219,684 and 328,770

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Solution

The third proportional to 219,684 and 328,770 is: 492,023.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,684 : 328,770 = 328,770 : x
  2. Step 2: Convert to fraction form
    219,684/328,770 = 328,770/x
  3. Step 3: Cross multiply
    219,684x = 328,770 × 328,770
  4. Step 4: Simplify right side
    219,684x = 108,089,712,900
  5. Step 5: Solve for x
    x = 108,089,712,900/219,684
  6. Step 6: Final answer
    x = 492,023.60

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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.