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Finding the Third Proportional to 173,657 and 378,742

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Solution

The third proportional to 173,657 and 378,742 is: 826,027.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,657 : 378,742 = 378,742 : x
  2. Step 2: Convert to fraction form
    173,657/378,742 = 378,742/x
  3. Step 3: Cross multiply
    173,657x = 378,742 × 378,742
  4. Step 4: Simplify right side
    173,657x = 143,445,502,564
  5. Step 5: Solve for x
    x = 143,445,502,564/173,657
  6. Step 6: Final answer
    x = 826,027.76

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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.