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Finding the Third Proportional to 169,493.72 and 256,427.44

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Solution

The third proportional to 169,493.72 and 256,427.44 is: 387,949.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,493.72 : 256,427.44 = 256,427.44 : x
  2. Step 2: Convert to fraction form
    169,493.72/256,427.44 = 256,427.44/x
  3. Step 3: Cross multiply
    169,493.72x = 256,427.44 × 256,427.44
  4. Step 4: Simplify right side
    169,493.72x = 65,755,030,702.82
  5. Step 5: Solve for x
    x = 65,755,030,702.82/169,493.72
  6. Step 6: Final answer
    x = 387,949.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.