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Finding the Third Proportional to 328,654 and 469,653

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Solution

The third proportional to 328,654 and 469,653 is: 671,143.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,654 : 469,653 = 469,653 : x
  2. Step 2: Convert to fraction form
    328,654/469,653 = 469,653/x
  3. Step 3: Cross multiply
    328,654x = 469,653 × 469,653
  4. Step 4: Simplify right side
    328,654x = 220,573,940,409
  5. Step 5: Solve for x
    x = 220,573,940,409/328,654
  6. Step 6: Final answer
    x = 671,143.33

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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.