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Finding the Third Proportional to 185,718 and 279,927

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Solution

The third proportional to 185,718 and 279,927 is: 421,925.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,718 : 279,927 = 279,927 : x
  2. Step 2: Convert to fraction form
    185,718/279,927 = 279,927/x
  3. Step 3: Cross multiply
    185,718x = 279,927 × 279,927
  4. Step 4: Simplify right side
    185,718x = 78,359,125,329
  5. Step 5: Solve for x
    x = 78,359,125,329/185,718
  6. Step 6: Final answer
    x = 421,925.31

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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.