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Finding the Third Proportional to 153,868 and 319,966

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Solution

The third proportional to 153,868 and 319,966 is: 665,364.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,868 : 319,966 = 319,966 : x
  2. Step 2: Convert to fraction form
    153,868/319,966 = 319,966/x
  3. Step 3: Cross multiply
    153,868x = 319,966 × 319,966
  4. Step 4: Simplify right side
    153,868x = 102,378,241,156
  5. Step 5: Solve for x
    x = 102,378,241,156/153,868
  6. Step 6: Final answer
    x = 665,364.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.