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Finding the Third Proportional to 139,346 and 304,868

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Solution

The third proportional to 139,346 and 304,868 is: 667,005.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,346 : 304,868 = 304,868 : x
  2. Step 2: Convert to fraction form
    139,346/304,868 = 304,868/x
  3. Step 3: Cross multiply
    139,346x = 304,868 × 304,868
  4. Step 4: Simplify right side
    139,346x = 92,944,497,424
  5. Step 5: Solve for x
    x = 92,944,497,424/139,346
  6. Step 6: Final answer
    x = 667,005.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.