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Finding the Third Proportional to 185,730 and 279,945

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Solution

The third proportional to 185,730 and 279,945 is: 421,952.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,730 : 279,945 = 279,945 : x
  2. Step 2: Convert to fraction form
    185,730/279,945 = 279,945/x
  3. Step 3: Cross multiply
    185,730x = 279,945 × 279,945
  4. Step 4: Simplify right side
    185,730x = 78,369,203,025
  5. Step 5: Solve for x
    x = 78,369,203,025/185,730
  6. Step 6: Final answer
    x = 421,952.31

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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.