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Finding the Third Proportional to 328,684 and 469,698

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Solution

The third proportional to 328,684 and 469,698 is: 671,210.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,684 : 469,698 = 469,698 : x
  2. Step 2: Convert to fraction form
    328,684/469,698 = 469,698/x
  3. Step 3: Cross multiply
    328,684x = 469,698 × 469,698
  4. Step 4: Simplify right side
    328,684x = 220,616,211,204
  5. Step 5: Solve for x
    x = 220,616,211,204/328,684
  6. Step 6: Final answer
    x = 671,210.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.