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Finding the Third Proportional to 328,682 and 469,695

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Solution

The third proportional to 328,682 and 469,695 is: 671,206.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,682 : 469,695 = 469,695 : x
  2. Step 2: Convert to fraction form
    328,682/469,695 = 469,695/x
  3. Step 3: Cross multiply
    328,682x = 469,695 × 469,695
  4. Step 4: Simplify right side
    328,682x = 220,613,393,025
  5. Step 5: Solve for x
    x = 220,613,393,025/328,682
  6. Step 6: Final answer
    x = 671,206.19

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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.