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Finding the Third Proportional to 173,654 and 378,730

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Solution

The third proportional to 173,654 and 378,730 is: 825,989.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,654 : 378,730 = 378,730 : x
  2. Step 2: Convert to fraction form
    173,654/378,730 = 378,730/x
  3. Step 3: Cross multiply
    173,654x = 378,730 × 378,730
  4. Step 4: Simplify right side
    173,654x = 143,436,412,900
  5. Step 5: Solve for x
    x = 143,436,412,900/173,654
  6. Step 6: Final answer
    x = 825,989.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.